Question

The area of a circle is 16​ square meters. What is the diameter?

Answer 1

4.52 meters

Explanation:

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

To work this out you would first have to divide the area of 16 by pi, which gives you 5.09. This is because by dividing the area by pi it will leave you with the radius squared.

The next step is to find the square root of 5.09, which gives you 2.26. This is because as 5.09 is the radius squared to find the radius you would have to find the square root. The square root is a number that when multiplied by itself is equal to the number that you are trying to find the square root of (squaring the number).

Then to find the diameter you would multiply the radius of 2.26 by 2, which gives you 4.52.This is because the radius is half of the diameter and so by multiplying the radius by 2 it equals the diameter.

1) Divide 16 by pi.

`16/\pi =5.09`

2) Find the square root of 5.09.

`√(5.09) =2.26`

3) Multiply 2.26 by 2.

`2.26*2=4.52`

Answer 2

d =4.5 m

Explanation:

The area of a circle is given by

A = pi r^2

16 = pi r^2

Divide each side by pi

16/pi = r^2

16/3.14 = r^2

5.095541401 = r^2

Take the square root of each side

sqrt(5.095541401) =sqrt( r^2)

2.257330592 = r

The diameter is twice the radius

d = 2r = 2*2.257330592

d =4.514661184

d =4.5 m