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. 314 square meters 312 square meters 2,822 square meters 1,254 square meters

Explanation:

Step1: Calculate area of triangle

The area of a right - triangle is $A_{triangle}=\frac{1}{2}\times base\times height$. Here, base = 56 m and height = 56 m, so $A_{triangle}=\frac{1}{2}\times56\times56 = 1568$ square meters.

Step2: Calculate area of circle

The area of a circle is $A_{circle}=\pi r^{2}$, with $r = 10$ m and $\pi\approx3.14$. So $A_{circle}=3.14\times10^{2}=314$ square meters.

Step3: Calculate area of shaded region

The area of the shaded region $A = A_{triangle}-A_{circle}$. Substitute the values: $A=1568 - 314=1254$ square meters.

Answer:

1,254 square meters