Find the area of shaded region?
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Answer:
(Use π = 3.14) Hint: To find the area of the shaded region we compute the total area of the square and subtract the area of the unshaded region from it. The unshaded region can be divided into a square and 4 semi-circles.
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Step-by-step explanation:
(Use π = 3.14) Hint: To find the area of the shaded region we compute the total area of the square and subtract the area of the unshaded region from it. The unshaded region can be divided into a square and 4 semi-circles.
Given,
side of square =14cm
Area of larger Square =side2
=142
=196cm2
There are four semi circle that means we have two complete circles of diameter of 2xcm
then we can observe that
3+x+2x+x+3=14
i.e., x=2
so radius of circle is 2cm
Area of non shaded region=area of two circle + area of square of side 4cm
= 2.pi.r2+side2
= 25.12+16
= 41.12cm2
Hence,
Required area of shaded region =196−41.12=154.88cm2.
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