Question

Destiny draws the lagrest circle she can inside of a square. The circle has a diamater of 12 in. The square is 12 in. By 12in. What is the area of the square Not covered by the circle

Answer 1

30.96
`in^2`

Explanation:

Given that

Side of square = 12 in

Diameter of circle = 12 in

We know that, radius is half of diameter,

So, r = 6 cm

We have to find the area of square which is not covered by the circle.

i.e. Required Area = Area of Square - Area of Circle

Please refer to the attached to have a better understanding of the given situation.

Formula:

Area of square =
`(side)^2`

Area of circle =
`\pi r^2`

Required Area =
`12^2` -
`\pi * 6^(2)`

`\Rightarrow 144 - 3.14 * 36\\\Rightarrow 144 - 113.04\\\Rightarrow 30.96\ in^2`

So, the answer is 30.96
`in^2`.