Maths-
General
Easy

Question

The largest triangle is inscribed in a semi-circle of radius 4 cm. Find the area inside the semi-circle which is not occupied by the triangle.

Hint:


The correct answer is: 9.12 cm2


    It is given that radius of the triangle = 4 cm
    Base of the triangle = 2r = 8 cm
    Height of the triangle = r = 4 cm
    Area of the triangle = equals 1 half cross times b cross times h equals 1 half cross times 8 cross times 4
    = 16 cm2
    Area of semi-circle = 1 half pi r squared equals 1 half =   (3.14) 42
    = 25.12 cm2
    Area not occupied by the triangle
    = Area of semi-circle – Area of triangle
    = 25.12 – 16 = 9.12 cm2

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