Geometric Formulas Galore

Question 1

What is the area formula for a rhombus?

Accepted Answer

A = 1/2 d1 x d2

Question 2

What is the volume formula for a torus?

Accepted Answer

V = 2π^2Rr^2

Question 3

What is the distance formula in 3D space?

Accepted Answer

d = √((x2-x1)^2 + (y2-y1)^2 + (z2-z1)^2)

Question 4

What is the sum of a geometric series formula?

Accepted Answer

S_n = a(1 - r^n)/(1 - r)

Question 5

What is the area formula for a parallelogram?

Accepted Answer

A = b x h

Question 6

Which formula calculates the area of a triangle?

Accepted Answer

Area = 1/2 x base x height

Question 7

What does the Pythagorean theorem express?

Accepted Answer

a^2 + b^2 = c^2

Question 8

What is the volume of a sphere formula?

Accepted Answer

V = 4/3πr^3

Question 9

What does the gradient formula calculate?

Accepted Answer

Slope between two points

Question 10

What is the surface area formula for a frustum of a cone?

Accepted Answer

A = π(r1 + r2)l + πr1^2 + πr2^2

Question 11

What does the cosine rule calculate?

Accepted Answer

c^2 = a^2 + b^2 - 2ab cos(C)

Question 12

What is the area formula for a circle in terms of diameter?

Accepted Answer

A = πd^2/4

Question 13

What is the area of a circle in terms of circumference?

Accepted Answer

A = C^2/(4π)

Question 14

What is the nth term formula for an arithmetic sequence?

Accepted Answer

a_n = a_1 + (n - 1)d

Question 15

What is the circumference formula for a circle?

Accepted Answer

C = 2πr

Question 16

What is the length of an arc formula?

Accepted Answer

L = (θ/360°)2πr

Question 17

What is the volume formula for a triangular prism?

Accepted Answer

V = 1/2 Base Area x h

Question 18

What is the volume formula for a cone?

Accepted Answer

V = 1/3πr^2h

Question 19

What is the area formula for a kite?

Accepted Answer

A = 1/2 d1 x d2

Question 20

What is the volume formula for a cylinder?

Accepted Answer

V = πr^2h

Question 21

What is the area formula for a regular polygon?

Accepted Answer

A = 1/4 n s^2 cot(π/n)

Question 22

What does the quadratic formula find?

Accepted Answer

Roots of equations

Question 23

What does the distance formula calculate?

Accepted Answer

Distance between points

Question 24

What is the surface area formula for a cone?

Accepted Answer

A = πr(r + l)

Question 25

What is the volume formula for a rectangular prism?

Accepted Answer

V = l x w x h

Question 26

What is the exterior angle formula for regular polygons?

Accepted Answer

360°/n

Question 27

What is the area formula for an ellipse?

Accepted Answer

A = πab

Question 28

What is the area formula for a segment of a circle?

Accepted Answer

A = r^2(θ/2 - sin(θ))

Question 29

What is the volume formula for a pyramid?

Accepted Answer

V = 1/3 Base Area x h

Question 30

What is the sum of interior angles formula for polygons?

Accepted Answer

(n - 2) x 180°

Question 31

What does the surface area of a sphere formula represent?

Accepted Answer

A = 4πr^2

Question 32

What is the surface area formula for a rectangular prism?

Accepted Answer

A = 2(lw + lh + wh)

Question 33

What does the sine rule express?

Accepted Answer

a/sin(A) = b/sin(B) = c/sin(C)

Question 34

What is the equation of a straight line?

Accepted Answer

y = mx + c

Question 35

What is the midpoint formula?

Accepted Answer

M = (x1+x2)/2, (y1+y2)/2

Question 36

What is the area formula for a sector of a circle?

Accepted Answer

A = (θ/360°)πr^2

Question 37

What is the area formula for a sector in radians?

Accepted Answer

A = 1/2 r^2 θ

Question 38

How is the area of a circle calculated?

Accepted Answer

A = πr^2

Question 39

What is the volume formula for a frustum of a cone?

Accepted Answer

V = 1/3 πh (r1^2 + r1r2 + r2^2)

Question 40

How is the area of a trapezium calculated?

Accepted Answer

A = 1/2(a + b)h

Geometric Formulas Galore

Questions 40

Geometric Formulas Galore

Questions 40