find the area of shaded portion of a circle 25 CM 25 cm and 15 CM
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Answer:
Let the center of circle be at O. AC is diagonal of square ABCD
AC=4
2
cm
we have AE=CF=1cm each
EF=AC−AE−CF
EF=4
2
−2
radius of circle =
2
1
EF=2
2
−1
Area of shaded region = area (ABCD) − area of circel − 4\times area of each quadrant
=4×4−π×(2
2
−1)
2
−4×
4
1
π(1)
2
=16−π{(2
2
−1)
2
+1}
=16−π{8+1−4
2
+1}
=16−(10−4
2
)π
=16−13.64439
Area =2.36cm
2
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