please answer fast , I am waiting for 10 minutes
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A square OABC is inscribed in a quadrant OPBQ a circle.if OA= 21 cm,find the area of the shaded region.
Solution:-
In Δ OAB,
OB² = OA² + AB²
OB² = 21² + 21²
OB² = 441 + 441
OB² = 882
OB = √882
OB = 29.698 cm
Now, OB = 29.698 cm is the radius of the circle.
Area of quadrant = 90°/360° × 22/7 × (29.698)²
= 1/4 × 22/7 × 882
= 19404/28
Area of the quadrant = 693 sq cm
Now, area of the square OABC = 21 × 21
= 441 sq cm
Area of the shaded region = area of quadrant - area of square
= 693 - 441
Area of the shaded region = 252 sq cm.
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this is your ans answer is 628 cm2
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pihu883:
i m sorrry one more step is there area of remaining portion 628 -400 cm =228 cm2
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