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 :

  1. 100π

  2. 75π

  3. 50π

Show Answer

Answer :

100π

Solution :

ON = OM = Base of triangle = Height of triangle = Radius, Area of triangle = 50 cm2.

Area of Right-angled triangle =  1 2 × b a s e × h e i g h t

1 2 × R a d i u s × R a d i u s = 5

∴ Radius = 10 cm

Area of the circle = πr2 = π × 10 × 10 = 100π cm2.

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