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in Areas Related To Circles by (1.4k points)
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The area of the largest triangle that can be inscribed in a semi circle of radius ' r 'units

a) 1/2 rsquare units

b) 4 rsquare units

c) 2 rsquare units

d) r2 square units

1 Answer

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Best answer

The area of a triangle is equal to the base times the height.

In a semi circle, the diameter is the base of the semi-circle.

This is equal to 2 x r (r = the radius)

If the triangle is an isosceles triangle with an angle of 45° at each end, then the height of the triangle is also a radius of the circle.

A = 1/2 x b x h formula for the area of a triangle becomes

A = 1/2 x 2 x r x r because:

The base of the triangle is equal to 2 x r

The height of the triangle is equal to r

A = 1/2 x 2 x r x r becomes:

A = r2

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