In the following figure, OABC is a square of side 7 cm. If OAPC is a quadrant of a circle with centre O, then find the area of the shaded region. (Use 
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Answers
Answer:
The area of shaded region is 10.5 cm².
Step-by-step explanation:
GIVEN :
OABC is a square , OA = 7 cm
Radius of circle, r = Side of a square = 7 cm
Area of quadrant, OAPC = ¼ × πr²
= ¼ × 22/7 × 7²
= ½ × 11 × 7
= 77/2
Area of quadrant, OAPC = 38.5 cm²
Area of square, OABC = Side² = 7² = 49 cm²
Area of shaded region = Area of square, OABC - Area of quadrant ,OAPC
= 49 - 38.5
= 10.5 cm²
Area of shaded region = 10.5 cm²
Hence,the area of shaded region is 10.5 cm².
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In the following figure a square OABC is inscribed in a quadrant OPBQ of a circle. If OA = 21 cm, find the area of the shaded region.
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Answer:
Step-by-step explanation:
Area of shaded region = Area of square, OABC - Area of quadrant ,OAPC
= 49 - 38.5
= 10.5 cm²
Area of shaded region = 10.5 cm²