Question

1 a round tablecloth has a diameter of 30 inches.
a. what is the radius of the tablecloth?
b. what is the area of the tablecloth? write your answer using π. show your work.
solution

Explanation:

Step1: Calculate the radius

The radius \(r\) of a circle is half of the diameter \(d\). Given \(d = 30\) inches, so \(r=\frac{d}{2}\).
\(r=\frac{30}{2}=15\) inches.

Step2: Calculate the area

The formula for the area \(A\) of a circle is \(A=\pi r^{2}\). Substitute \(r = 15\) into the formula.
\(A=\pi\times(15)^{2}=\pi\times225 = 225\pi\) square inches.

Answer:

a. \(15\) inches
b. \(225\pi\) square inches