Question

Question #ac993

Answer 1

`~~` 9 meters

Explanation:

Area of a circle: `pi r^2`

Diameter of a circle: `2r`

Given area: 63.585 square meters

Assume `pi` `~~` 3.14

`r^2 = 63.585-:pi`

`r ~~ sqrt (20.25)`

`r ~~ 4.5`

The diameter `=2r ~~` 2 * 4.5 `~~` 9 meters

Answer 2

The diameter is about `8.99` meters

Explanation:

The problem wants to know the `"diameter"`, so the shape must be a circle.

The Area of a circle
`A = pi  r^2`

In this case, Area is given as `63.585` square meters.
Use the formula to find the radius.
Then use the radius to find the diameter.

`color(white)(...)` `A` `color(white)(....)` `= pi` `color(white)()`  `r^2`
`63.585 =  pi` `color(white)` `r^2`
Solve for `r`

Divide both sides by `pi` to isolate the `r^2` term
`20.24 = r^2`

Find the square roots of both sides to isolate the radius `r`
`4.98 = r`

Multiply `4.98` by `2` to find the diameter
`"Diameter" = 8.99` meters

Answer:
The diameter is about `8.99` meters

Answer 3

Diameter `color(brown)(d )~~color(blue)( 9 m)`

Explanation:

Area of a circle `A_C = pi r^2 = pi (d/2)^2 = 63.585 m^2`

where r is the radius and the diameter `d = 2 * r`

`pi * (d/2)^2 = 63.585`

`d = sqrt((4 * 63.585) / pi ) ~~ 9 m`