1 Answer

Brad Osterloo · Answer 1 · 2020-08-07T18:31:29+0000

Answer:

d = 52 in

Explanation:

The formula of a circumference:

$C=2\pi r=d\pi$

r - radius

d - diameter

We have
$C=52\pi\ in$ .

Calculate the diameter using
$C=d\pi$ :

$d\pi=52\pi$ divide both sides by π

$d=52\ in$

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If a circle inscribed in a square, then the diameter of a circle and a side of a square are congruent (have the same length).

We have the area of the square:

$A=36\ mm^2$

The formula of an area of a square:

A=s^2

s - side

Substitute:

$s^2=36\to s=√(36)\\\\s=6\ mm$

The formula of a circumference
$C=d\pi$

d - diameter

d = s → d = 6 mm

Substitute:

$C=6\pi\ mm$