The circumference of a circle is 157 centimeters. What is the area of the circle in terms

of t?

A

7.570 cm?

B

157 cm

C

D

56.251 cm

2257 cm

The area of the circle is 56.25π cm²

Step-by-step explanation:

The formula of the circumference of a circle is C = 2πr, where r is the radius of the circle The formula of the area of a circle with radius r is A = πr²

To find the area of the circle use the formula of the circumference to find its radius and then use the formula of the area to find its area

∵ The circumference of a circle is 15π centimeters

∵ C = 2πr

- Equate 2πr by 15π

∴ 2πr = 15π

- Divide both sides by π

∴ 2 r = 15

- Divide both sides by 2

∴ r = 7.5 centimeters

Now let us use the rule of the area to find it

∵ A = πr²

∴ A = π (7.5) ²

∴ A = 56.25π centimeters²

The area of the circle is 56.25π cm²