Question
In the given 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?
Options :
100π
75π
50π
2π
Answer :
100π
Solution :
ON = OM = Base of triangle = Height of triangle = Radius, Area of triangle = 50 cm2.
Area of Right-angled triangle =
∴ Radius = 10 cm
Area of the circle = πr2 = π × 10 × 10 = 100π cm2.
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