Question

5. A factory worker is cutting circular pieces of nylon fabric for trampolines. She cuts

3 pieces with a diameter of 9 feet and 4 pieces with a diameter of 7 feet. For which size
does she use more fabric?

Answer 1

The area of a circle can be calculated using the formula:

A = πr^2

where A is the area of the circle and r is the radius of the circle.

Since the diameter is given, we can calculate the radius using the formula:

r = d/2

where d is the diameter of the circle.

For a 9-foot diameter circle, the radius is:

r = 9/2 = 4.5 feet

And for a 7-foot diameter circle, the radius is:

r = 7/2 = 3.5 feet

Now we can calculate the area of each circle:

Area of a 9-foot diameter circle = π(4.5)^2 = 63.62 square feet
Area of a 7-foot diameter circle = π(3.5)^2 = 38.48 square feet

Since the area of the 9-foot diameter circle is larger than the area of the 7-foot diameter circle, the worker uses more fabric for the 9-foot diameter circles. Therefore, the worker uses more fabric for the circular pieces with a diameter of 9 feet.