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The area of the circle above is 1,808.64 units. What is the circumference of the circle? Use = 3.14.
A. 150.72 units
B. 75.36 units
C. 602.88 units
D. 904.32 units

Respuesta :

To solve for this, we need to understand the formula for the area of a circle, and the formula for the circumference of a circle.
Area = [tex] \pi x^{2} [/tex]
Circumference = 2R[tex] \pi [/tex]

Since we have the area, 1,808.64 units, we need to divide by 3.14 ([tex] \pi [/tex]) first so we can square root (as we are doing the opposite of the formula) the quotient.

1,808.64 / 3.14 = 576

Square root 576.
[tex] \sqrt{576} [/tex] = 24
24 is our radius.

Now that we've broken it down, let's look for the circumference.

Remember, our formula for the circumference is 2R[tex] \pi [/tex].

2 x 24 x 3.14
48 x 3.14
150.72 is your circumference.

Your answer is A.) 150.72 units.

I hope this helps!