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If you know the circumference of a circle, which step(s) can you follow to find its radius?

A. Divide by 2, then multiply by [tex]\pi[/tex].
B. Divide by [tex]\pi[/tex], then divide by 2.
C. Divide by [tex]\pi[/tex].
D. Divide by 2.

Sagot :

To find the radius of a circle given its circumference, we start with the formula for the circumference of a circle:

[tex]\[ \text{Circumference} = 2 \pi \times \text{radius} \][/tex]

Our goal is to solve for the radius. Here are the detailed steps:

1. Starting with the Circumference Formula:

[tex]\[ \text{Circumference} = 2 \pi \times \text{radius} \][/tex]

2. Isolate the radius on one side of the equation:
Divide both sides of the equation by [tex]\( 2 \pi \)[/tex]:

[tex]\[ \frac{\text{Circumference}}{2 \pi} = \text{radius} \][/tex]

So, to find the radius:

- Step 1: Divide the circumference by [tex]\( \pi \)[/tex].
- Step 2: Then, divide the result by 2.

This step-by-step process aligns with the correct answer option:

[tex]\[ \boxed{\text{B. Divide by π, then divide by 2.}} \][/tex]