Question

A trampoline has an area of 49pi square feet. What is the diameter of the trampoline?

Answer 1

Hi there!

To solve this problem, we need a few things. We need the formula for the area of a circle and a bit of knowledge about squares and square roots. The area of a circle is equal to A = pi * r^2. Using this formula, we can set the area equal to the other part of the formula to solve for the radius, r. Then, we can double the radius because the diameter is equal to the radius doubled. 

WORK:
49pi = pi * r^2 (Setting up an equation)
49 = r^2 (dividing both sides by pi)
r = 7 (finding the square root of both sides)
d = 14 ft (doubling the radius)

Hope this helps!! :)
If there's anything else that I can do for you, please let me know!