Question

What is the diameter of a circle that has 50 square meters?

Answer 1

The diameter of a circle that has 50 square meters = 7.98 m

Explanation:

Formula

Area of circle = πr²

Where 'r' is the radius of circle

Diameter of circle d = 2r

It is given that area of circle = 50 square meters

To find the radius of circle

we have,

Area of circle = πr² = 50

r² = 50/π = 50/3.14 = 15.924

r = √15.924 = 3.99

To find the diameter of circle

Diameter = 2r = 2 * 3.39 = 7.98 m

Answer 2

Answer: 7.97 meters

Explanation:

You must use the formula for calculate the area of a circle, which is:

`A=r^2\pi`

Where r is the radius of the circle.

The diameter of the circle is:

`D=2r`

Solve for r from
`D=2r`

`r=(D)/(2)`

Substitute the area and
`r=(D)/(2)` into the first equation and solve for the diameter. Then you obtain:

`50m^2=((D)/(2))^2\pi\\\\50m^2=(D^2)/(4)\pi\\\\D=\sqrt{(4*50m^2)/(\pi)}\\D=7.97m`