Home MATHEMATICS MATHEMATICS FORMULA | KANUNI ZA HISABATI

# MATHEMATICS FORMULA | KANUNI ZA HISABATI

2849
36
SHARE

## 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. Square Perimeter of Square.$Perimeter = Side \times 4$
2. Rectangle Perimeter of Rectangle.$Perimeter = 2 \times (Length + Width)$
3. Triangle Perimeter of Triangle.$Perimeter = a + b + c$

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

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

$Perimeter = a + b + c + d$

6. Circle Circumference of Circle.

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

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

7. Circle 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 circle Circumference of quarter of circle$Circumf. = \frac{1}{2} \pi r + 2r\;\; OR \;\; Circumf. = \frac{1}{4} \pi d + d$

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

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

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

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

$b = kitako \; \; h = kimo$

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

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

Au

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

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

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

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

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

11. THREE-QUARTER CIRCLE | Robo tatu duara

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 | Sekta 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 kivuli 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 mstatili 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. 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 mmoja 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 zote 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 pembetatu AREA | Eneo la mche pembetatu$Eneo = [E \Delta (ABE) \times 2 ]+ [E(ABCF) \times 2] + [E(AEDF) \times 2] + [E(EBCDE)\times 2]$
5. SQUIRE | Mche mraba AREA OF SQUIRE | Eneo la mche mraba.$Eneo = (Up. \times Up. \times 6)$

# CIRCLES | MIZUNGUUKO

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

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

4. TRAPEZZA | Trapeza TRAPEZZA | Mzingo wa Trapeza.$Mzingo = a + b + c + d$
5. PARALLEL | Msambamba PARALLEL | Mzingo wa Msambamba$Mzingo = a + b + c + d$
6. CIRCLE | Duara 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 Duara 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 duara 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 duara 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 | Sekta 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 Mraba SQUIRE | Ujazo la Mche Mraba.

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

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

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

3. CIRCLE | Mche Duara 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 | Pia 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 Mstatili PYRAMID | Ujazo Piramidi yenye kitako cha Mstatili$Ujazo = \frac{1}{3} \times (Urefu \times Upana \times Kimo)$
6. SQUIRE BASE PYRAMID | Piramidi yenye kitako cha Mraba SQUIRE BASE PYRAMID | Ujazo Piramidi yenye kitako cha Mraba.$Ujazo = \frac{1}{3} \times (Upana \times Upana \times Kimo)$
7. GLOBE | Tufe

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 | Mwendo SPEED | Mwendo$Umbali = Mwendokasi \times Muda$

$Mwendokasi = \frac{Umbali}{Muda}$

$Muda = \frac{Umbali}{Mwendokasi}$

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 Pythagoras PYTHAGORAS THEOREAM | Kanuni za Pythagoras$c^2 = a^2 + b^2$

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

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

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

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

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.

Katika umbo hili “n=6”

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

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

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

SHARE
Previous articleANIMAL SOUNDS (SOUNDS OF ANIMALS)
Next articleINDIRECT RULE

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.

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. 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

Do you have any? Please permit me recognize so that I may subscribe.
Thanks. asmr 0mniartist

5. 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