Question

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

Answer 1

The approximated area of the shaded region given in this problem is of 2,794 square meters.

What is the area of a right triangle?

The area of a right triangle is given by half the multiplication of it's sides. In this problem, the sides are of 90m and 90m, hence the area is:

A = 0.5 x 90 x 90 = 4050 m².

What is the area of a circle?

The area of a circle of radius r is given by:

$A = \pi r^2$

For the circle inscribed into the triangle, the diameter is of 40 m, hence the radius is of r = 20 m and the area is given by:

$A = \pi \times 20^2 = 400\pi$

What is the area of the shaded region?

The shaded region is the right triangle, removing the circle, hence the area is given by:

A = 4050 - 400 x pi = 2,794 square meters.

Hence, the approximated area of the shaded region given in this problem is of 2,794 square meters.

More can be learned about areas at https://brainly.com/question/17326298

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