Question

The circumference of a circle is 28π inches. What is the length of the radius of this circle?

Answer 1

Answer:

14

Step-by-step explanation:

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Answer 2

Answer:

The radius of the circle is 14 inches.

Step-by-step explanation:

How is the circumference of a circle related to its radius?

$\displaystyle \text{Circumference} = \pi\times \text{Diameter} = \pi\;(2\times \text{Radius})$.

In brief,

$\text{Circumference} = 2\pi\times \text{Radius}$.

For this question,

• $\text{Circumference} = 28\pi$, and
• $\text{Radius}$ needs to be found.

Divide both sides of the equation by $2\pi$:

$\displaystyle \frac{\text{Circumference}}{2\pi} = \text{Radius}$.

$\displaystyle \text{Radius} = \frac{\text{Circumference}}{2\pi} = \frac{28\pi}{2\pi} = 14$.

In other words, the radius of this circle is 14 inches.