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

Step-by-step explanation:

Answer 2

Answer:

The area of the shaded region is $5.86\ cm^{2}$

Step-by-step 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

$A=3^{2} -(3.14)(1)^{2}$

$A=5.86\ cm^{2}$