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 3,286 square meters 544 square meters 1,486 square meters

Explanation:

Step1: Calculate area of the right - triangle

The area formula for a right - triangle is $A_{triangle}=\frac{1}{2}\times base\times height$. Here, base = 60 m and height = 60 m. So, $A_{triangle}=\frac{1}{2}\times60\times60 = 1800$ square meters.

Step2: Calculate area of the circle

The area formula for a circle is $A_{circle}=\pi r^{2}$. Given the diameter of the circle is 20 m, so the radius $r = 10$ m. Then $A_{circle}=3.14\times10^{2}=3.14\times100 = 314$ square meters.

Step3: Calculate area of the shaded region

The area of the shaded region $A = A_{triangle}-A_{circle}$. Substitute the values of $A_{triangle}$ and $A_{circle}$: $A=1800 - 314=1486$ square meters.

Answer:

1,486 square meters