Problema Solution
Timothy built a base for a circular tabletop. The base can support a tabletop with a radius of at least 6 inches, but not more than 23 inches.
What is the smallest possiblearea of the tabletop that will fit on Timothy’s table base? Round the answer to the nearest whole square inch.
Answer provided by our tutors
The formula for the area of a circle with radius R is:
A = R^2*pi, where pi = 3.14
This means the smallest possible area is for a radius R = 6 in. In that case the area is:
A = 6^2*3.14
A = 113.04 in^2
A = 113 in^2 rounded to the nearest whole square inch
The smallest possible area of the tabletop is 113 square inches.