Question

2 the perez family has a circular garden with a diameter of 32 ft. they want to cover the whole garden with mulch. the cost of mulch is $2.50 per square foot. rounding to the nearest dollar, how much will it cost to cover the entire garden with mulch? use 3.14 for π. area a) $3226 b) $2010 c) $628 d) $126

Explanation:

Step1: Find the radius of the circle

The radius $r$ of a circle is half of the diameter $d$. Given $d = 32$ ft, so $r=\frac{d}{2}=\frac{32}{2}=16$ ft.

Step2: Calculate the area of the circle

The area formula of a circle is $A=\pi r^{2}$. Using $\pi = 3.14$ and $r = 16$ ft, we have $A=3.14\times16^{2}=3.14\times256 = 803.84$ square - feet.

Step3: Calculate the total cost

The cost of mulch is $2.50$ per square - foot. So the total cost $C$ is $C = 2.50\times A$. Substituting $A = 803.84$ into the formula, we get $C=2.50\times803.84 = 2009.6\approx2010$ dollars.

Answer:

B. $2010$