Question #ac993

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Answer 1 · 2018-01-23T17:10:31

$\approx$ $~~$ 9 meters

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 · 2018-01-23T18:25:59

The diameter is about $8.99$ meters

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 · 2018-01-24T12:54:38

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

enter image source here

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

enter image source here

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

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

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