Maths - Measurement Geometry

Question 1

circumference of circle

Answer 1

2πr

πd

Question 2

area of circle

Answer 2

πr^2

Question 3

arc length sector of circle

Answer 3

θ/360 x 2πr

Question 4

area of sector of circle

Answer 4

θ/360 x πr^2

Question 5

area of trapezium

Answer 5

1/2h(a+b)

Question 6

area of rhombus and kite

Answer 6

1/2(product of diagonals)

Question 7

volume of any prism

Answer 7

area x h

Question 8

volume of rectangular prism

Answer 8

lbh

Question 9

surface area of cylinder

Answer 9

2πrh + 2πr^2

Question 10

volume of cylinder

Answer 10

πr^2h

Question 11

Curved surface area of cylinder

Answer 11

2πrh

Question 12

volume of a polygon

Answer 12

V = A1h + A2h + A3h + A4h

Question 13

volume of pyramid

Answer 13

V =1/3 × area of base × height.

V = 1/3Ah

Question 14

surface area of cone

Answer 14

A = πrl + πr^2

Question 15

volume of cone

Answer 15

V= 1/3 x π x r^2 x h
V= 1/3πr^2h

Question 16

surface area of sphere

Answer 16

S = 4πr^2

Question 17

volume of sphere

Answer 17

V = 4/3 x π x r^3,
V = 4/3πr^3

Question 18

enlargement

Answer 18

Let k > 0.
• If a plane figure is enlarged by a factor of k, then the area of the figure is multiplied by
a factor of k^2.
• If a solid is enlarged by a factor of k, then the surface area of the solid is multiplied by
a factor of k^2.
• If a solid is enlarged by a factor of k, then the volume of the solid is multiplied by a
factor of k^3.