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. 2. a circular garden has a radius of 3 meters. what is the area of the garden? write your answer using π. show your work.

Explanation:

Step1: Find radius of tablecloth

Radius is half of diameter. Given diameter $d = 30$ inches, so $r=\frac{d}{2}=\frac{30}{2}=15$ inches.

Step2: Find area of tablecloth

The formula for area of a circle is $A = \pi r^{2}$. Substitute $r = 15$ inches, we get $A=\pi\times(15)^{2}=225\pi$ square - inches.

Step3: Find area of circular garden

Given radius of garden $r = 3$ meters. Using the area formula $A=\pi r^{2}$, substitute $r = 3$ meters, we get $A=\pi\times(3)^{2}=9\pi$ square - meters.

Answer:

a. 15 inches
b. $225\pi$ square - inches

1. $9\pi$ square - meters