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Find the area of the shaded region given the radius of each circle is 4. Leave the answer in exact form.

Find the area of the shaded region given the radius of each circle is 4. Leave the-example-1

1 Answer

6 votes

we have that

the area of the shaded region is equal to the area of 4 circles minus the area of 4 squares

so

step 1

Find the area of the four circles


A=4\cdot\lbrack\pi\cdot r^2\rbrack

we have

r=4 units

therefore

A=4(pi)(4^2)

A=64pi unit2

sttep 2

Find the area of the four squares

A=4{4^2}

A=64 unit2

step 3

the area of the shaded region is

A=(64pi-64) unit2

User Adam Smooch
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