Question

if the circumference of a circle is 18.84 in, what is its radius?

Explanation:

Step1: Recall the formula for the circumference of a circle

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \), where \( r \) is the radius and \( \pi \approx 3.14 \).

Step2: Substitute the given circumference into the formula and solve for \( r \)

We know that \( C = 18.84 \) in and \( \pi \approx 3.14 \). Substituting these values into the formula \( C = 2\pi r \), we get:

$$ 18.84 = 2\times3.14\times r $$

First, calculate \( 2\times3.14 = 6.28 \), so the equation becomes:

$$ 18.84 = 6.28r $$

Then, solve for \( r \) by dividing both sides of the equation by \( 6.28 \):

$$ r=\frac{18.84}{6.28} $$

$$ r = 3 $$

Answer:

The radius of the circle is 3 inches.