A square OPQR is inscribed in a qudrant OAOB of circle is 62 cm, find the area of the shaded region
Answers
Answered by
2
Answer:
Area of the shaded region = 1098.28 cm².
Step-by-step explanation:
OAQB is a quadrant of a circle and a square OPQR is inscribed in this quadrant.
Radius OA = OB= 62 cm
OA² = OP² + PQ² [By Pythagoras theorem]
OA² = 2(OP)²
(62)² = 2(OP)²
OP = 62/√2
OP = 31√2 cm
Area of the the shaded region = Area of the quadrant OAQB - Area of the square OPQR
= πr²/4 - (OP)²......... [area of OPQR = (Side)²]
= π(62)² - (31√2)²
= (22*(62)²/7*4) - 1922
= 3020.28 - 1922
= 1098.28 cm²
•°•area of the shaded region is 1098.28 cm².
Similar questions