Question

a circle with radius of 2cm sits inside a 7cm x 11cm rectangle. what is the area of the shaded region ?

Answer 1

Answer:

The area of the shaded region is $(77-4\pi)\ cm^{2}$

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

step 1

Find the area of the rectangle

$A=(7)(11)=77\ cm^{2}$

step 2

Fin the area of the circle

$A=\pi (2)^{2}=4\pi \ cm^{2}$

step 3

Find the area of the shaded region

$77\ cm^{2}-4\pi \ cm^{2}=(77-4\pi)\ cm^{2}$ -----> exact value

To find the approximate value use $\pi=3.14$

$(77-4(3.14))=64.44\ cm^{2}$ -----> approximate value