Find the shaded surface. Give the answer in terms of π
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Answer:
16( π - 2 ) cm^2
Step-by-step explanation:
Given diagram has two shapes.
Here, there is a right-angled triangle and its area should half of the product of its side( excluding hypotenuse ) and second one is a 1 / 4 of circle and its area should be 1 / 4 or πr^2 , where r is the radius.
Thus,
⇒ Shaded area = Area of 1 / 4 of circle - area of triangle
⇒ 1 / 4 ( π )( 8 cm )^2 - 1 / 2 [ 8 cm x 8 cm ]
⇒ 64 / 4 ( π ) cm^2 - ( 4 x 8 ) cm^2
⇒ 16π cm^2 - 32 cm^2
⇒ 16( π - 2 ) cm^2
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