Question

1. a landscaper is designing a semicircular flower bed with a diameter of 6 meters. what is the perimeter of the flower bed, including the straight edge?

a. 18.84 meters
b. 24.84 meters
c. 15.42 meters
d. 9.42 meters

Explanation:

Step1: Calculate the circumference of the semicircle

The formula for the circumference of a full - circle is \(C = \pi d\). For a semicircle, the curved part's length is \(\frac{1}{2}\pi d\). Given \(d = 6\) meters, \(\frac{1}{2}\times3.14\times6=9.42\) meters.

Step2: Add the diameter (straight edge)

The perimeter of the semicircular flower - bed including the straight edge is the sum of the curved part and the diameter. The diameter \(d = 6\) meters. So, \(P=9.42 + 6=15.42\) meters.

Answer:

C. 15.42 meters