Question
Asked Oct 16, 2019

Determine the shaded area.

23 in.
5 in
14 in.
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23 in. 5 in 14 in.

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Expert Answer

Step 1

Given figure is a circle with outside trapezoid

From figu...

Area of trapezoid(A,)=hx(a+b)
where a and b are unequal side of trapezoid, h=height of trapezoid
-diameter of circle
area of circle (A,)=nr2
where rradius
hence,
10x(14+23) = 185,
A,=nx5*=78.5
hence area of shaded region =A,-A,
185-78.5
=106.5
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Area of trapezoid(A,)=hx(a+b) where a and b are unequal side of trapezoid, h=height of trapezoid -diameter of circle area of circle (A,)=nr2 where rradius hence, 10x(14+23) = 185, A,=nx5*=78.5 hence area of shaded region =A,-A, 185-78.5 =106.5

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Geometry

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