Question

Nicole wants to build a circular deck in her yard. If she needs the radius

of the deck to be 7 feet, how many square feet of her yard will be
covered by the deck?
Your answer should be a number only. Use 3.14 for pi. Round your
answer to the nearest hundredth.

Answer 1

The deck will cover 153.86 square feet of Nicole's yard

Explanation:

We want to find the area of the deck as the area is "the total space taken up by a flat (2-D) surface". Furthermore, the mention of square feet also indicates that we want to find area since the area is always in square units.

The formula for the area of a circle is given by:

A = πr^2, where

• A is the area in square units,
• and r is the radius of the circle.

Thus, we can plug in 3.14 for π and 7 for r, allowing us to solve for A, the area of the circular deck in square feet:

A = 3.14(7)^2

A = 3.14(49)

A = 153.86

Thus, the deck will cover 153.86 square feet of Nicole's yard.