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.
1,256 square meters
974 square meters
6,844 square meters
2,794 square meters

Explanation:

Step1: Calculate triangle area

The area formula for a right - triangle is $A_{triangle}=\frac{1}{2}\times base\times height$. Here, base = 90 m and height = 90 m. So $A_{triangle}=\frac{1}{2}\times90\times90 = 4050$ square meters.

Step2: Calculate circle area

The area formula for a circle is $A_{circle}=\pi r^{2}$, with $r = \frac{40}{2}=20$ m and $\pi = 3.14$. So $A_{circle}=3.14\times20^{2}=3.14\times400 = 1256$ square meters.

Step3: Calculate shaded area

The area of the shaded region $A = A_{triangle}-A_{circle}$. So $A=4050 - 1256=2794$ square meters.

Answer:

2,794 square meters