A circle with a 12 inch diameter is folded in half and then folded in half again. What is the area of the resulting shape? Round to the hundredths place.

Question

asked Sep 18, 2024 59.7k views

1 Answer

Laylarenee · Answer 1 · 2024-09-23T03:06:29+0000

Answer:

28.28 inches

Explanation:

Given: a 12 inch diameter circle was folded 2 times, find the area and round it to the nearest hundredth.

First, find the area of the circle:

Using the formulas

A = π
r^2

d = 2r

Solving for A

A =
(1)/(4) π
d^2 =
(1)/(4) * π *
12^2 = 113.09734, or 113.1 inches.

Because it was divided 2 times, quarter, we divide the area by 4:

(113.1)/(4) = 28.275 inches

Rounded to the nearest hundredth is 28.28 inches is the area of resulted shape.