Question

Bob's yard is in the shape of a semicircle with a diameter of 14 feet. Bobwants to buy grass to cover the area of his entire yard. How many squarefeet of grass does Bob need? Round to the nearest tenth.

Answer 1

EXPLANATION

The area of a semicircle is given by the following relationship:

$\text{Area}_{\text{semicircle}}=\frac{1}{2}\cdot\pi\cdot r^2$

The radius of the semicircle is diameter/2=14/2 = 7 feet

Replacing terms:

$\text{Area}=\frac{1}{2}\cdot\pi\cdot(7)^2$

Computing the power:

$\text{Area}=\frac{1}{2}\pi\cdot49$

Simplifying numbers:

$\text{Area}=24.5\cdot\pi=24.5\cdot3.14=76.93ft^2\approx77ft^2$

In conclusion, the answer is the option D.