Find the area of the shaded region below given the center of the circle is (9, 4). Leave the answer in exact form.

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Find the area of the shaded region below given the center of the circle is (9, 4). Leave the answer in exact form.

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LegacyC25720 LegacyC25720 · Answer 1 · 2025-04-03T21:59:12-04:00

LegacyC25720 LegacyC25720

Today at 9:59 PM

we have that

the area of the shaded region is equal to the area of rectangle minus the area of the circle

step 1

Find the area of the circle

A=pi(r^2)

we have

r=4 units

substitute

A=pi(4^2)

A=16pi unit2

step 2

Find the area of rectangle

A=b*h

we have

h=2(4)=8 units

b=9+4=13 units

substitute

A=13(8)

A=104 unit2

therefore

the area of the shaded region is

A=(104-16pi) unit2

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