To find the radius of a circle when the circumference is known, you can use the formula for circumference:
C = 2πr
Where C is the circumference and r is the radius. In this case, we know the circumference:
C = 32 in
Now we can rearrange the formula to solve for r:
r = C / (2π)
Plugging in the value for C:
r = 32 / (2π)
This simplifies to:
r = 16 / π
Now, we can use an approximate value for π (about 3.14) to calculate:
r ≈ 16 / 3.14 ≈ 5.1 in
From the options provided:
- a) 16 in
- b) 10 2 in
- c) 2 54 in
- d) 5 1 in
The radius we calculated is approximately 5.1 in, which is closest to option d) 5 1 in.
Therefore, the correct answer is:
d) 5 1 in