Question

A clock tower has a circular clock face with an area of 144pi square feet. What is the diameter of the clock face? Teacher wants to see method using square root and showing step by step work. Please help.

Answer 1

Answer:

d = 24

Step-by-step explanation:

The area of a circle is given by A = π * r²

We are told the area of the clock is 144π.

Let's clear the formula for the radius:

r² = A / π

r² = 144π / π

r² = 144

r = √144

r = 12

The diameter is two times the radius, d = 2r = 2*12 = 24.