Question

Circumference formula: C = 2πr.

Solve for r: divide both sides by 2π
r = C / (2π).

Part 2 — compute r for each table size

Use r = C/(2π). (I use π ≈ 3.141592653589793.)

- Size A: C = 188.4 in
r = 188.4 / (2π) = 94.2 / π ≈ 94.2 / 3.14159 ≈ 29.985 in
(rounded: 29.99 in)

- Size B: C = 150.72 in
r = 150.72 / (2π) = 75.36 / π ≈ 75.36 / 3.14159 ≈ 23.988 in
(rounded: 23.99 in)

- Size C: C = 113.04 in
r = 113.04 / (2π) = 56.52 / π ≈ 56.52 / 3.14159 ≈ 17.991 in
(rounded: 17.99 in)

Final recommended radii (rounded to two decimal places): Size A ≈ 29.99 in, Size B ≈ 23.99 in, Size C ≈ 17.99 in.
Is this work correct?

Answer 1

Mostly yes — your algebra and calculations are correct, but Size A was rounded up one centesimal too far.

Using r = C/(2π) with π ≈ 3.141592653589793 gives
- Size A: r = 188.4/(2π) = 94.2/π ≈ 29.98479 in → rounds to 29.98 in (not 29.99)
- Size B: r = 150.72/(2π) = 75.36/π ≈ 23.98783 in → 23.99 in
- Size C: r = 113.04/(2π) = 56.52/π ≈ 17.99087 in → 17.99 in

So final radii (to two decimals): A ≈ 29.98 in, B ≈ 23.99 in, C ≈ 17.99 in.