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

Find the area of the shaded region. Use 3.14 for pi, if needed. Round your answer-example-1
User Max Ralph
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1 Answer

5 votes

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

User Jackie Shephard
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5.4k points