Question

What is the radius of a circle with circumference 13 ft?

A) 2.07 ft
B) 3.28 ft
C) 6.54 ft
D) 13.00 ft

Answer 1

To find the radius of a circle with a circumference of
`13 ft`, divide the circumference by
`2π (2 times pi)`. The radius is approximately
`2.07 ft`, which corresponds to Option A.

Step-by-step explanation:

The question asks us to find the radius of a circle given its circumference. The formula to calculate the circumference (C) of a circle when you know the radius (r) is
`C = 2πr` where π (pi) is approximately
`3.14159`. To find the radius when you know the circumference, you rearrange the formula to solve for r which gives you
`r = C / (2π)`.

Using the given circumference of
`13 ft` the calculation for the radius (r) would be:

`r = 13 ft / (2 × 3.14159)`

`r ≈ 13 ft / 6.28318`

`r ≈ 2.07 ft`

Therefore, the correct answer is Option A)
`2.07 ft.`