Shaded Area – Right Triangle Inscribed in a Circle

A right triangle is inscribed in a circle such that its longest side is the diameter of the circle. If the shorter sides of the triangle measure 6cm and 8cm, find the area of the shaded region. Use \pi = 3.14

Solution

A triangle inscribed in a circle with its longest side as the diameter of the circle is always a right triangle (by Thales’ Theorem). So, we can find the area A_T of the triangle.

right triangle inscribed in a circle

Finding the area of the triangle,

A_T = \frac{6 \times 8}{2} = 24Continue reading “Shaded Area – Right Triangle Inscribed in a Circle”