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Find the radius of the circle.

Circumference = 18.84 yd
a. 3 yd
b. 59.16 yd
c. 6 yd
d. 118.32 yd

what's the answer??​

1 Answer

2 votes

Answer:

A. 3yd

Explanation:

There are two formulas that can be used for the circumference of a circle:

c = πd and c = 2πr

Since we want to solve for the radius, let's use c = 2πr

The circumference, 'c', is 18.84 inches

Since 'π' is an irrational number, we use its approximation of 3.14

We are trying to solve for 'r', which is the radius

The circumference, 'c', is 18.84 inches

Since 'π' is an irrational number, we use its approximation of 3.14

We are trying to solve for 'r', which is the radius

Plugging in, we get:

18.84 = 2(3.14)r

Since 'π' is an irrational number, we use its approximation of 3.14

Notice there are the same amount of decimal places (two!) in the answer as the combined amount of spaces in the numbers being multiplied!

18.84 = 6.28r

The goal is to isolate and solve for 'r', which is the radius

18.84/6.28 = 3

So we get "3 = r", which means the radius is 3 inches!

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