Question

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.

Answer 1

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.