Question Bank - General Aptitude

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In the above 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.
2?
B.
100?
C.
75?
D.
50?

Solution:

Concept:Area of Right-angled triangle = \(\frac{1}{2}× base × height\)Area of the traingle = ?r2Calculation:Given:ON = OM = Base of triangle = Height of triangle = Radius, Area of triangle = 50 cm2.Area of Right-angled triangle = \(\frac{1}{2}× base × height\)\(\frac{1}{2}× Radius × Radius =50\)? Radius = 10 cmArea of the circle = ?r2 = ? × 10 × 10 = 100? cm2.

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