Question

q. a crew youre supervising is installing a circular patio. in order to purchase the materials,
they need to compute the area. the plans call for a diameter of 12 yards. the crew figures the
area of the patio will be 37.68 square yards. did the crew calculate the area correctly? if not,
why?
a. no, they calculated circumference instead of the area.
b. no, they forgot to multiply by pi (3.14).
c. no, they used diameter instead of the radius.
d. yes, their calculation was correct.
hint

Explanation:

Step1: Calculate the area of the circular patio

The formula for the area of a circle is \(A = \pi r^{2}\), where \(r\) is the radius. Given the diameter \(d = 12\) yards, the radius \(r=\frac{d}{2}=\frac{12}{2} = 6\) yards. Substituting into the formula, \(A=3.14\times6^{2}=3.14\times36 = 113.04\) square yards.

Step2: Calculate the circumference of the circular patio

The formula for the circumference of a circle is \(C=\pi d\). Substituting \(d = 12\) yards, \(C = 3.14\times12=37.68\) yards.

Answer:

A. No, they calculated circumference instead of the area.