A cake has circumference of 25 1/7inches. what is the area of the cake? use 227 to approximate π. round to the nearest hundredth. enter your answer in the box.

Step-by-step explanation:

Hello,

The circumference of the cake is 25 (1/7), but we don't know the area of the cake.

Assuming the cake has a shape of a circle,

Circumference of a circle = 2πr

Where r = radius of the circle.

Area of a circle = πr²

But π = 22 / 7

We have to first find the value of r.

2πr = 25 (1/7)

2 * (22/7) * r = 25 (1/7)

(44/7) r = 176 / 7

(44 * 7) r = 176 * 7

44r = 176

r = 176 / 44

r = 4 inches

Area of the circle = πr²

A = (22 / 7) * 4²

A = 22 / 7 * 16

A = 352 / 16

A = 22 (inches) ²

The area of the cake is 22in²