Question

10 a circular serving tray has a diameter of 15 inches. what is its area? write your answer using π. show your work.

Explanation:

Step1: Find the radius

The diameter \( d = 15 \) inches. The radius \( r \) is half of the diameter, so \( r=\frac{d}{2}=\frac{15}{2} = 7.5 \) inches.

Step2: Use the area formula for a circle

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substitute \( r = 7.5 \) into the formula: \( A=\pi\times(7.5)^{2}=\pi\times56.25=\frac{225}{4}\pi \) (or \( 56.25\pi \)) square inches.

Answer:

The area of the circular serving tray is \( \boldsymbol{56.25\pi} \) square inches (or \( \boldsymbol{\frac{225}{4}\pi} \) square inches).