Question

Find the area of the shaded region. Use 3.14 for pi, if needed. Round your answer to the nearest hundredth.

Answer 1

we have that

the area of the shaded region is equal to the area of the complete square, minus the area of two semicircles (one circle)

so

step 1

Find out the area of the square

A=10^2

A=100 cm2

step 2

Find out the area of two semicircles or one circle

`A=\pi\cdot r^2`

we have

pi=3.14

r=10/2=5 cm

substitute

`\begin{gathered} A=3.14\cdot5^2 \\ A=78.5\text{ cm2} \end{gathered}`

step 3

the area of the shaded region is equal to

A=100-78.5

A=21.5 cm2