MATHEMATICS FORMULA | KANUNI ZA HISABATI

Mathematics Formula | Kanuni Za Hisabati

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

 

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