Question 101

The radius of a circle is 20% more than the height of a right angled triangle. The base of triangle is 36 cm. If the area of triangle and circle be equal, what will be the area of circle ?

Solution

Let the height of the triangle be 'h'. Area of the triangle = (1/2) * 36 * h = 18h

Radius of the circle = 1.2h

Area of the circle = $$\pi * 1.44 h^2$$

Since the areas are equal, 18h = (22/7) * 1.44 * $$h^2$$

=> h = 18*7/1.44/22 = 3.97727273

So, the area of the circle = Area of the triangle = 18 * 3.97727273 = 72 $$cm^2$$ approx.

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