Question

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.
Part 2: Using your answer from Part I, determine the radius, r, of each table that Tonia should rent for the party to fit the tablecloths (Size A, B, and C). Show ALL of your work.

Answer 1

Part 1 — solve for r from the circumference formula

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.