Question

12 a circular tablecloth has a radius of 5 feet. each square foot of fabric cost $2.50. what is the total cost of the fabric needed to make the tablecloth?

Explanation:

Step1: Calculate area of circle

The formula for the area of a circle is \( A = \pi r^2 \). Given \( r = 5 \) feet, so \( A=\pi\times5^2 = 25\pi \) square feet. Using \( \pi\approx3.14 \), \( A\approx25\times3.14 = 78.5 \) square feet.

Step2: Calculate total cost

Each square foot costs $2.50, so total cost \( = 78.5\times2.50 \). \( 78.5\times2.50 = 196.25 \) dollars.

Answer:

The total cost of the fabric is $196.25.