Question

Place the circles in order from the circle with the largest area to the circle with the smallest area.

a circle with a
diameter of
8 meters
a circle with a
radius of
7 meters
a circle with a
circumference
of 37.68 meters
a circle with a
diameter
of 16 meters

Answer 1

a circle with a diameter of 16 meters

a circle with a radius of 7 meters

a circle with a circumference of 37.68 meters

a circle with a diameter of 8 meters

Explanation:

a circle with a

diameter of

8 meters

A = pi × (8/2)² = 16pi

a circle with a

radius of

7 meters

A = pi × 7² = 49pi

a circle with a

circumference

of 37.68 meters

C = 2pi × r

37.68 = 2pi × r

r = 18.84/3.14 = 6

A = pi × 6² = 36pi

a circle with a

diameter

of 16 meters

A = pi × (16/2)² = 64pi

Answer 2

a circle with a diameter of 16 meters largest

a circle with a circumference of 37.68 meters

a circle with a radius of 7 meters

a circle with a diameter of 8 meters

Explanation:

a circle with a diameter of 8 meters

The radius is 8/2 = 4

A = pi r^2 = 3.14 * 4^2 = 50.24 m^2

a circle with a radius of 7 meters

A = pi r^2 = 3.14 * 7^2 = 153.86 m^2

a circle with a circumference of 37.68 meters

C = 2*pi*r

37.68 = 6.28r r =6

A = 3.14 (6)^2 =113.04

a circle with a diameter of 16 meters

r = d/2 = 8m

A = pi r^2 = 3.14 (8)^2 = 200.96 m^2