Question

1. to install a round sprinkler system that covers a circular area with a diameter of 14 meters, what is the coverage area?

a. 49 sq m
b. 49π sq m
c. 98π sq m
d. 196π sq m

Explanation:

Step1: Find the radius

The formula for the radius \(r\) of a circle is \(r=\frac{d}{2}\), where \(d\) is the diameter. Given \(d = 14\) meters, then \(r=\frac{14}{2}=7\) meters.

Step2: Calculate the area

The formula for the area \(A\) of a circle is \(A=\pi r^{2}\). Substitute \(r = 7\) into the formula: \(A=\pi\times7^{2}=\pi\times49 = 49\pi\) square meters.

Answer:

B. \(49\pi\) sq m