Question

ellie is painting the ceiling of a circular gazebo. the diameter of the gazebo is 13.5 meters. how much area will the paint need to cover? (use 3.14 for pi.) a) 143 square meters b) 182 square meters c) 364 square meters d) 572 square meters

Explanation:

Step1: Find the radius

The diameter \( d = 13.5 \) meters, so the radius \( r=\frac{d}{2}=\frac{13.5}{2} = 6.75 \) meters.

Step2: Use the area formula for a circle

The area of a circle is \( A=\pi r^{2} \). Substitute \( \pi = 3.14 \) and \( r = 6.75 \):
\( A=3.14\times(6.75)^{2} \)
First, calculate \( 6.75^{2}=6.75\times6.75 = 45.5625 \)
Then, \( A = 3.14\times45.5625=143.06625\approx143 \) square meters.

Answer:

A) 143 square meters