Question

A circular plate has circumference 23.9 inches. What is the area of this plate?

Answer 1

Rounded to the nearest thousandth: ≈45.479

Explanation:

The formula for finding area using circumference is

`(c^2)/(4\pi )`

c=23.9"

`(23.9^2)/(4\pi )`

Since we're using 3.14 for pi, multiply 4 by 3.14, and continue from there.

`(23.9^2)/(4(3.14)) = (571.21)/(12.56) = 45.47850318`

but we don't use that big number! We round to the nearest thousandth!

≈45.479

Answer 2

46 inches^{2}

Explanation:

The formula for the area of a circle is
`\pi r^(2)`

To work this out you would first need to divide 23.9 by pi to find out diameter.

Then you would divide the diameter by 2 to find the radius. Then you would multiply pi by the radius squared.

1) Divide 23.9 by
`\pi`.

`23.9/\pi=7.608`

2) Divide 7.608 by 2.

`7.608/2=3.804`

3) Multiply pi by the radius squared.

`\pi *3.804^(2) =45.4601526`

4) Round To nearest whole number.

`46 inches^(2)`