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In the below figure, O is the center of the circle and, M and N lie on the circle. The area of the right triangle MON is 50 cm2 .

What is the area of the circle in cm2 ?
  • a)
  • b)
    50π
  • c)
    100π
  • d)
    75π
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In the below figure, O is the center of the circle and, M and N lie on...
Area of triangle MNO = 50 cm2

Since, the radius of circle is OM = ON= r
Therefore, 
1/2 x r2 = 50
r2 = 100
r = 10
Then, the area of circle =πr2 =π(10)2 = 100π
Hence, the correct option is (C). 
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In the below figure, O is the center of the circle and, M and N lie on the circle. The area of the right triangle MON is 50 cm2 .What is the area of the circle in cm2 ?a)2πb)50πc)100πd)75πCorrect answer is option 'C'. Can you explain this answer?
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