Question

q. a painter needs to paint a circular helicopter landing pad that is 24 yards in diameter. a gallon of paint covers 59 square yards. how many full gallons of paint are needed to cover the landing pad?
a. 77 gallons
b. 8 gallons
c. 83 gallons
d. 452.16 gallons

Explanation:

Step1: Find the radius of the circular pad

The diameter \(d = 24\) yards. The radius \(r=\frac{d}{2}=\frac{24}{2}=12\) yards.

Step2: Calculate the area of the circular pad

The area formula for a circle is \(A=\pi r^{2}\). Using \(\pi = 3.14\), we have \(A = 3.14\times12^{2}=3.14\times144 = 452.16\) square yards.

Step3: Determine the number of gallons of paint

If one gallon covers \(59\) square yards, then the number of gallons \(n=\frac{452.16}{59}\approx7.66\). Since we need full - gallons, we use the ceiling function (round up).

Answer:

B. 8 gallons