Question

a circle with a radius of 1 cm sits inside a 3cm x 3cm rectangle. What is the area of the shaded region (the rectangle is shaded, not the inside of the circle)? Round your final answer to the nearest hundredth.

Answer 1

Answer: 5.86

Explanation:

Answer 2

The area of the shaded region is
`5.86\ cm^(2)`

Explanation:

we know that

The area of the shaded region is equal to the area of the rectangle minus the area of the circle

The rectangle is a square

so

`A=b^(2) -\pi r^(2)`

we have

`b=3\ cm`

`r=1\ cm`

assume

`\pi =3.14`

substitute the values

`A=3^(2) -(3.14)(1)^(2)`

`A=5.86\ cm^(2)`