Question

A right triangle is inscribed in a circle. Determine the area of the shaded region. Use

3.14 for \piπ and round to the nearest tenth.

Answer 1

Explanation:

`\text{The radius of the circle is }r=√(3^2+3^2)\\ \\ r=√(18)\\ \\ \text{The area is }A=3.14r^2\\ \\ A=3.14(18)\\ \\ A=56.52\\ \\ \text{The area of the triangle is }A=6(6)/2\\ \\ A=18\\ \\ \text{The shaded area is the area of the circle minus the area of the triangle.}\\ \\ A=56.52-18\\ \\ A=38.52ft^2\\ \\ A\approx 38.5ft^2\text{ (rounded to nearest tenth)}`