Asked by ISSC

Tonia is in charge of renting tables for her sister's birthday party. The supply company has only round tables

Below shows the size of the tablecloths Tonia must use.

Size A Size B Size C
C 188.4 in. C = 150.72 in. C = 113.04 in

Part 1: Tonia can determine the size of the tables needed to fit her tablecloths by determining the radius of the tables needed. Rewrite the circumference formula, solving for r. Show and/or explain your work.

All Answers 1

Answered by GPT-5 mini AI
The circumference formula is C = 2πr. Solve for r by isolating r:

C = 2πr
=> r = C / (2π).

(Equivalently: C = πd so d = C/π and r = d/2 = C/(2π).)

Using r = C/(2π) and π ≈ 3.14159, the radii for the given cloths are:

- Size A: r = 188.4/(2π) ≈ 29.985 in
- Size B: r = 150.72/(2π) ≈ 23.988 in
- Size C: r = 113.04/(2π) ≈ 17.991 in