If the circumference of a circle is 32 in, find the radius of the circle.

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

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