Question

Find the approximate area of the shaded region below, consisting of a right triangle with a circle out of it. Use 3.14 as an approximate for pie.
HELPPPPP

Answer 1

Given:

A circle with a diameter of 20 m inside a triangle with a base length of 56 m and a height of 56 m.

To find:

The area of the shaded region.

Solution:

To find the area of the shaded region, we must subtract the area of the circle from the area of the triangle.

The area of a circle $= \pi r^{2} .$

The diameter of the circle is 20 m so the radius is $\frac{20}{2}=10$ m.

The area of the circle $= (3.14)(10^{2} )= (3.14)(100)= 314$ square m.

The area of a triangle $=\frac{1}{2}(b)(h).$

The triangle has a base length of 56 m and a height of 56 m.

The area of the triangle $= \frac{1}{2}(56)(56) = \frac{1}{2} (3,136) = 1,568$ square m.

The area of the shaded region $=1,568-314 = 1,254$ square m.

The area of the shaded region is 1,254 square m.