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}}=(1)/(2)\cdot\pi\cdot r^2`

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

Replacing terms:

`\text{Area}=(1)/(2)\cdot\pi\cdot(7)^2`

Computing the power:

`\text{Area}=(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.