Answer:
Given equation of circle is:
x2+y2=a2
⇒y2=a2−x2
⇒y=a2−x2
∴ Area of circle =4×Area of first quadrant
=4∫0aydx
=4∫0aa2−x2dx
=4[2xa2−x2+2a2sin−1ax]0a
=4[0+2a2sin−1aa−(0+2a2sin−1a0)]
=4[2a2sin−11−0]
=2a2⋅2π
=πa2 square units.
Hi dear I am Aayush Malik
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Verified answer
Answer:
Given equation of circle is:
x2+y2=a2
⇒y2=a2−x2
⇒y=a2−x2
∴ Area of circle =4×Area of first quadrant
=4∫0aydx
=4∫0aa2−x2dx
=4[2xa2−x2+2a2sin−1ax]0a
=4[0+2a2sin−1aa−(0+2a2sin−1a0)]
=4[2a2sin−11−0]
=2a2⋅2π
=πa2 square units.
Answer:
Hi dear I am Aayush Malik