Tuesday , March 19 2024
Home / MATHEMATICS / MATHEMATICS FORMULA | KANUNI ZA HISABATI
TOPIC 5: READING SKILLS | ENGLISH LANG 1

MATHEMATICS FORMULA | KANUNI ZA HISABATI

Here you can get formula and solutions to  different problems for mathematics

FORMULA FOR CALCULATING AREAS OF PLANE SHAPES | KANUNI ZA KUTAFUTA MAENEO YA MAUMBO

S/N. SHAPE/FIGURE FORMULA
1. Squareformula1 Perimeter of Square.Perimeter = Side \times 4
2. Rectangleformula3 Perimeter of Rectangle.Perimeter = 2 \times (Length + Width)
3. Triangleformula23 Perimeter of Triangle.Perimeter = a + b + c

Perimeter = Total \; of \; lengths \; all\; three \;sides

4. Trapeziumformula24 Perimeter of Trapezium.Perimeter = a + b + c + d
5. Parallelogramformula25 Perimeter of Parallelogram.

Perimeter = a + b + c + d

6. Circleformula7 Circumference of Circle.

Circumf. = 2 \pi r \;\; OR \;\; Circumf. = \pi d

\pi = \frac{22}{7}, \;\; r = \frac{1}{2}diameter, \;\; d = diameter

7. Circleformula8 Circumference of semi circle.Circumf. = \pi r + 2r\;\; OR \;\; Circumf. = \frac{1}{2} \pi d + d

\pi = \frac{22}{7}, \;\; r = \frac{1}{2}diameter, \;\; d = diameter

8. Quarter of circleformula9 Circumference of quarter of circleCircumf. = \frac{1}{2} \pi r + 2r\;\; OR \;\; Circumf. = \frac{1}{4} \pi d + d

\pi = \frac{22}{7}, \;\; r = \frac{1}{2}diameter, \;\; d = diameter

9. Three quarter of circleformula10 Circumference of three quarter of circleCircumf. = \frac{3}{2} \pi r + 2r\;\; OR \;\; Circumf. = \frac{3}{4} \pi d + d

\pi = \frac{22}{7}, \;\; r = \frac{1}{2}diameter, \;\; d = diameter

10. Sectorformula11 Circumference of sectorMzingo = \frac{\pi r \theta}{180} + 2r\;\; OR \;\; Mzingo = \frac{\pi d \theta}{360} + d
NA. UMBO/MCHORO KANUNI
1. Squire | Mrabaformula1 AREA | Eneo la MrabaEneo = Upande \times Upande
2. DIAGONAL | Mraba wenye ulalo formula2 AREA OF DIAGONAL | Eneo la Mraba iwapo umepewa ulaloEneo =( \frac{1}{2} \times ZO \times WY) \times 2
3. RECTANGLE | Mstatiliformula3 ARES OF A RECTANGLE ” Eneo la Mstatili.Eneo = Urefu \times Upana
4. TRIANGLE | Pembetatuformula4 AREA OF A TRINGLE | Eneo la Pembetatu.Eneo = \frac{1}{2} bh

b = kitako \; \; h = kimo

5. SHADE TRIANGLE | Pembetatu yenye kivuliformula5 AREA OF A SHADE TRIANGLE | Eneo lililotiwa kivuliEneo \; lililotiwa \; kivuli= Eneo \; la \; \Delta (WXZ) \; kutoa \; Eneo \; la \; \Delta (WYZ)

Eneo \; lililotiwa \; kivuli= \frac{1}{2}(a + b)h - \frac{1}{2} ah

Au

Eneo \; lililotiwa \; kivuli= \frac{1}{2} bh

6. TRAPEZZA | Trapeza (tenge)formula6 AREA OF A TRAPEZZA | Eneo la trapeza (tenge)Eneo = \frac{1}{2}(a + b)h
7. PARALLEL | Msambambaformula21 AREA OF PARALLEREneo la msambamba.Eneo = bh
8. CIRCLE | Duaraformula7 AREA OF A CIRCLE | Eneo la duara.Eneo = \pi r^2 \; \; AU \; \; Eneo = \frac{\pi d^2}{4}

\pi = \frac{22}{7}, \; \; r = \frac{1}{2}kipenyo, \; \; d = kipenyo.

9. HALF ACIRCLE | Nusu duaraformula8 AREA OF HALF CIRCLE | Eneo la nusu duaraEneo = \frac{1}{2} \pi r^2 \; \; AU \; \; Eneo = \frac{1}{2} \frac{\pi d^2}{4}

\pi = \frac{22}{7}, \; \; r = \frac{1}{2}kipenyo, \; \; d = kipenyo.

10. QUATER CIRCLE | Robo duaraformula9 AREA OF  QUATER CIRCLEEneo la robo duaraEneo = \frac{1}{4} \pi r^2 \; \; AU \; \; Eneo = \frac{1}{4} \frac{\pi d^2}{4}

\pi = \frac{22}{7}, \; \; r = \frac{1}{2}kipenyo, \; \; d = kipenyo.

11. THREE-QUARTER CIRCLE | Robo tatu duara

formula10

AREA OF THREE-QUARTER CIRCLE | Eneo la robo tatu duara.Eneo = \frac{3}{4} \pi r^2 \; \; AU \; \; Eneo = \frac{3}{4} \frac{\pi d^2}{4}

\pi = \frac{22}{7}, \; \; r = \frac{1}{2}kipenyo, \; \; d = kipenyo.

12. SECTOR | Sektaformula11 AREA OF A SECTOR | Eneo la secta.Eneo = \frac{\theta}{360} \pi r^2 \; \; AU \; \; Eneo = \frac{\theta}{360} \frac{\pi d^2}{4}

\pi = \frac{22}{7}, \; \; r = \frac{1}{2}kipenyo, \; \; d = kipenyo.

13. SHADED AREA | Eneo lililotiwa kivulieneo3 SHADED AREA | Eneo la secta.Eneo = \pi R^2 - \pi r^2\;\;AU\;\;Eneo = \frac{\pi D^2}{4} - \frac{\pi d^2}{4}

\pi = \frac{22}{7}, \; \; r = \frac{1}{2}\;\;kipenyo, \; \; d = kipenyo.

HOW TO FIND AREAS OF DIFFERENT SHAPES | KANUNI ZA KUTAFUTA MAENEO YA NYUSO ZA MAUMBO YA UKUMBI

NA. SHAPE/UMBO/MCHORO PRINCIPLES | KANUNI
1. RECTANGLE | Mche mstatiliformula20 AREA OF A RECTANGLE | Eneo la mche mstatili.Eneo = (ur. \times up. \times 2) + (ur. \times h \times 2) + (up. \times h \times 2)

ur. = urefu, \;\; up. = upana, \;\; h = kimo

2. CIRCLE | Mche duara ulio wazi pande zote.formula17 AREA | Eneo la mche duara ulio wazi pande zote.Eneo = 2 \pi rh \;\; AU \;\; Eneo = \pi dh

\pi = \frac{22}{7}, \; \; r = \frac{1}{2}kipenyo, \; \; d = kipenyo.

3. CLOSED SIDE CIRCLE | Mche duara uliozibwa upande mmojaformula19 AREA OF CLOSED SIDE CIRCLE | Eneo la mche duara uliozibwa upande mmoja.Eneo = 2 \pi rh + \pi r^2 \;\; AU \;\; Eneo = \pi dh + \frac{\pi d^2}{4}

\pi = \frac{22}{7}, \; \; r = \frac{1}{2}kipenyo, \; \; d = kipenyo.

4. CIRCLE CLOSED ALL SIDES | Mche duara uliozibwa pande zoteformula18 AREA OF CIRCLE CLOSED ALL SIDES | Eneo la mche duara uliozibwa pande zote.Eneo = 2 \pi rh + 2 \pi r^2 \;\; AU \;\; Eneo = \pi dh + 2 \frac{\pi d^2}{4}

\pi = \frac{22}{7}, \; \; r = \frac{1}{2}kipenyo, \; \; d = kipenyo.

5. TRIANGLE | Mche pembetatuformula13 AREA | Eneo la mche pembetatuEneo = [E \Delta (ABE) \times 2 ]+ [E(ABCF) \times 2] + [E(AEDF) \times 2] + [E(EBCDE)\times 2]
5. SQUIRE | Mche mrabaformula22 AREA OF SQUIRE | Eneo la mche mraba.Eneo = (Up. \times Up. \times 6)

CIRCLES | MIZUNGUUKO

NA. SHAPE/UMBO/MCHORO  PRINCIPLES | KANUNI
1. SQUIRE | Mrabaformula1 Mzingo wa Mraba.Mzingo = Upande \times 4
2. RECTANGLE | Mstatiliformula3 Mzingo wa Mstatili.Mzingo = 2 \times (Urefu + Upana)
3. TRIANGLE | Pembetatuformula23 TRIANGLE | Mzingo wa Pembetatu.Mzingo = a + b + c

Mzingo = Jumla \; ya \; urefu \; wa \; pande \; zote \; tatu

4. TRAPEZZA | Trapezaformula24 TRAPEZZA | Mzingo wa Trapeza.Mzingo = a + b + c + d
5. PARALLEL | Msambambaformula25 PARALLEL | Mzingo wa MsambambaMzingo = a + b + c + d
6. CIRCLE | Duaraformula7 Mzingo wa Duara.Mzingo = 2 \pi r \;\; AU \;\; Mzingo = \pi d

\pi = \frac{22}{7}, \;\; r = \frac{1}{2}kipenyo, \;\; d = kipenyo

7. HALF CIRCLE |NUSU Duaraformula8 HALF CIRCLE | Mzingo wa nusu duara.

Mzingo = \pi r + 2r\;\; AU \;\; Mzingo = \frac{1}{2} \pi d + d

\pi = \frac{22}{7}, \;\; r = \frac{1}{2}kipenyo, \;\; d = kipenyo

8. QUATER CIRLCE | Robo duaraformula9 QUATER CIRLCE | Mzingo wa robo duara.Mzingo = \frac{1}{2} \pi r + 2r\;\; AU \;\; Mzingo = \frac{1}{4} \pi d + d

\pi = \frac{22}{7}, \;\; r = \frac{1}{2}kipenyo, \;\; d = kipenyo

9. THREE QUATER | Robo tatu duaraformula10 THREE QUATER | Mzingo wa robo tatu duara.Mzingo = \frac{3}{2} \pi r + 2r\;\; AU \;\; Mzingo = \frac{3}{4} \pi d + d

\pi = \frac{22}{7}, \;\; r = \frac{1}{2}kipenyo, \;\; d = kipenyo

10. SECTOR | Sektaformula11 Mzingo wa robo sekta.

Mzingo = \frac{\pi r \theta}{180} + 2r\;\; AU \;\; Mzingo = \frac{\pi d \theta}{360} + d

CUBIC | UJAZO / UKUBWA

NA. SHAPE/UMBO/MCHORO PRINCIPLES | KANUNI
1. SQUIRE | Mche Mrabaformula22 SQUIRE | Ujazo la Mche Mraba.

Ujazo = Up. \times Up. \times Up.

2. RECTANGLE | Mche Mstatiliformula20  RECTANGLE | Ujazo wa Mche Mstatili.

Ujazo = Ur. \times Up. \times h.

3. CIRCLE | Mche Duaraformula18 CIRCLE | Ujazo wa Mche Duara.Ujazo = \pi r^2 h \;\; AU \;\; Ujazo = \frac{\pi d^2 h}{4}

\pi = \frac{22}{7}, \;\; r = \frac{1}{2}kipenyo, \;\; d = kipenyo

4. PI | Piaformula14 Ujazo Pia.Ujazo = \frac{1}{3} \pi r^2 h \;\; AU \;\; Ujazo =\frac{1}{3} \frac{\pi d^2 h}{4}

\pi = \frac{22}{7}, \;\; r = \frac{1}{2}kipenyo, \;\; d = kipenyo

5. PYRAMID | Piramidi yenye kitako cha Mstatiliformula15 PYRAMID | Ujazo Piramidi yenye kitako cha MstatiliUjazo = \frac{1}{3} \times (Urefu \times Upana \times Kimo)
6. SQUIRE BASE PYRAMID | Piramidi yenye kitako cha Mrabaformula26 SQUIRE BASE PYRAMID | Ujazo Piramidi yenye kitako cha Mraba.Ujazo = \frac{1}{3} \times (Upana \times Upana \times Kimo)
7. GLOBE | Tufe

formula16

GLOBE | Ujazo wa Tufe.Ujazo = \frac{4 \pi r^3}{3} \;\; AU \;\; Ujazo = \frac{\pi d^3}{6}

OTHER MATHEMATICS PRINCIPLES | KANUNI NYINGINEZO

NA. SHAPE/UMBO/MCHORO PRINCIPLE | KANUNI
1. SPEED | Mwendoformula27 SPEED | MwendoUmbali = Mwendokasi \times Muda

Mwendokasi = \frac{Umbali}{Muda}

Muda = \frac{Umbali}{Mwendokasi}

2. INTERST | Riba katika benki INTERST | Riba katika benki.

I = \frac{PRT}{100}

P = \frac{100I}{RT}

R = \frac{100I}{PT}

T = \frac{100I}{PR}

P = Kianzio, \; R = Kiasi, \; T = Muda, \; I = Faida

3. PYTHAGORAS THEOREAM | Kanuni za Pythagorasformula23 PYTHAGORAS THEOREAM | Kanuni za Pythagorasc^2 = a^2 + b^2

a = \sqrt{c^2 - b^2}

b = \sqrt{c^2 - a^2}

c = \sqrt{a^2 + b^2}

4. Umbo lenye pande ‘n’ zenye urefu sawa.formula28

Katika umbo hili “n=6”

Jumla ya pembe za ndani za umbo lenye pande ‘n’ zenye urefu sawa.Jumla \; ya \; pembe = (n-2)\times 180^0

n = idadi \; ya \; pande \; za \; umbo

5. Thamani ya pembe ya nje ya umbo lenye pande ‘n’ zenye urefu sawa.formula29

Katika umbo hili “n=6”

Thamani ya pembe ya nje ya umbo lenye pande ‘n’ zenye urefu sawa.

Thamani\;ya\;Pembe (x) = \frac {360^0}{n}

n = idadi \; ya \; pande \; za \; umbo

 

Check Also

Primary School Books | Vitabu Shule Ya Msingi

Notes Masomo Yote Shule Ya Msingi | Primary School Notes For All Subjects | Swahili and Eglish Medium

Primary schools In most parts of the world, primary education is the first stage of …

36 comments

  1. I believe that is one of the most important information for me.
    And i am satisfied reading your article. But want to observation on few common things,
    The site taste is perfect, the articles is actually nice : D.
    Good task, cheers asmr 0mniartist

  2. Hello there, just became alert to your blog through Google, and found
    that it is truly informative. I am going to watch out for brussels.
    I will appreciate if you continue this in future. Many people will be benefited from your writing.

    Cheers! 0mniartist asmr

  3. Thank you for the auspicious writeup. It in fact was
    a amusement account it. Look advanced to more added agreeable from you!

    However, how could we communicate? asmr 0mniartist

  4. What i don’t realize is in reality how you are no longer actually a lot more smartly-liked than you might be
    now. You are very intelligent. You know thus significantly relating
    to this subject, made me for my part imagine
    it from so many various angles. Its like women and men don’t seem to
    be fascinated unless it’s one thing to accomplish with Lady gaga!
    Your own stuffs excellent. At all times deal with it up!
    0mniartist asmr

  5. I couldn’t resist commenting. Well written! 0mniartist asmr

  6. I’ll right away take hold of your rss as I can’t find your email subscription link or newsletter service.
    Do you have any? Please permit me recognize so that I may subscribe.
    Thanks. asmr 0mniartist

  7. Howdy! This is my first comment here so I just
    wanted to give a quick shout out and say I truly enjoy reading your blog posts.
    Can you recommend any other blogs/websites/forums that cover the same topics?
    Thanks for your time! 0mniartist asmr

  8. Hi there! This article couldn’t be written much better!

    Reading through this article reminds me of my previous roommate!
    He continually kept preaching about this. I most certainly will forward this
    article to him. Pretty sure he will have a very good read.
    I appreciate you for sharing! 0mniartist asmr

  9. I’m now not positive where you are getting your info, however great topic.
    I needs to spend some time learning much more or figuring out more.
    Thank you for fantastic information I was on the lookout for this info for my mission.
    asmr 0mniartist

  10. I know this web page gives quality based articles
    or reviews and other material, is there any other web page which offers these
    things in quality? asmr 0mniartist

  11. Im grateful for the blog. Really Cool.

Leave a Reply

Your email address will not be published. Required fields are marked *