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. 3,286 square meters 1,486 square meters 544 square meters 314 square meters

Explanation:

Step1: Calculate the area of the right - triangle

The formula for the area of a right - triangle is \(A_{\triangle}=\frac{1}{2}\times base\times height\). Here, \(base = 60m\) and \(height = 60m\).
\(A_{\triangle}=\frac{1}{2}\times60\times60= 1800m^{2}\)

Step2: Calculate the area of the circle

The formula for the area of a circle is \(A_{circle}=\pi r^{2}\). Given \(d = 20m\), then \(r=\frac{d}{2}=10m\) and \(\pi\approx3.14\).
\(A_{circle}=3.14\times10^{2}=3.14\times100 = 314m^{2}\)

Step3: Calculate the area of the shaded region

The area of the shaded region \(A = A_{\triangle}-A_{circle}\)
\(A=1800 - 314=1486m^{2}\)

Answer:

1,486 square meters