Question

Paula measures a prize wheel at a carnival and calculates that it has an area of 3.14 square feet. What is the prize wheel's diameter?

Answer 1

The diameter of the prize wheel is 2 feet.

Explanation:

Given,

Area of the prize wheel =
`3.14\ feet^2`

Since the prize is a wheel and wheel is in the shape of circle.

So we use the formula of area of circle to calculate the radius.

`Area\ of\ circle = pi* radius^2`

Let the radius of the circle be x.

On substituting the value of area and radius, we get;

`3.14= pi* x^2\\3.14=3.14* x^2\\\\x^2=(3.14)/(3.14) =1\\\therefore x= √(1) =1`

So the radius of the circle = 1 feet

And we know that the diameter is twice of radius of the circle.

`Diameter=2* radius=2*1=2\ feet`

Thus the diameter of the prize wheel is 2 feet.