Use your calculator value of 𝜋 to find, to two decimal places, the lengths (in inches) of the radius and the diameter of a circle with area 52.75 in2.

Question

Use your calculator value of 𝜋 to find, to two decimal places, the lengths (in inches) of the radius and the diameter of a circle with area 52.75 in².

radius in

diameter in

Answer 1

Hi Alyssa Z

Since the formula for the area of a circle is

Area = πr²

You can use this and given area to solve for the radius

Once you get the radius which is half of the diameter you can calculate that

Given Area = 52.75 in²

52.75 in² =πr²

Divide both sides of the equation by π

52.75 in² /(π) = r²

16.79 in² = r²

Now just take the square root to find r and the diameter is 2r

Give it a try, you can look up the formula for the area of a circle in your text or on the internet and if you have any questions just send me a message.

I got a radius of 4.10 in and a diameter of 8.20 in

I hope this helps