Q:

4. If a decorative sign in the form of a circle has a diameter of 10 feet, what it the area of the sign, to the nearest square foot? A. 79 ft2 B. 31 ft2 C. 157 ft2 D. 16 ft2

Accepted Solution

A:
For this case we have that by definition, the area of a circle is given by:[tex]A = \pi * r ^ 2[/tex]Where:A: It is the radius of the circleWe have as data that the diameter is 10 feet, then the radius is half, that is, 5 feet.Substituting:[tex]A = \pi * (5) ^ 2\\A = 25 \pi\\A = 78.5[/tex]Rounding out we have that the circle area is[tex]79 \ ft ^ 2[/tex]Answer:Option A