Question

Match the circumference (rounded to the nearest foot) on the left to its corresponding circle on the right. Some circumference options on the left will not be used.

Answer 1

C₁ = 47 feet

C₂ = 28 feet

C₃ = 113 feet

Step-by-step explanation:

First, remenber that the circunference (or circunference lenght) can be calculated as follows:

`\begin{gathered} C=2\pi r \\ or \\ C=\pi D \\ \text{where} \\ C\text{ is the circunference lenght} \\ r\text{ is the circunference radius} \\ D\text{ is the circunference diameter } \end{gathered}`

Now, let's calculate the circunferences for each circle:

Circle 1:

Radius (r) = 7.5 feet

C₁ = 2πr

C₁ = 2π*7.5

C₁ = 15π

Considering π = 3.14

C₁ = 15*3.14

C₁ = 47 feet

Circle 2

Diameter (D) = 9 feet

C₂ = πD

C₂ = 9π

Considering π = 3.14

C₂ = 9*3.14

C₂ = 28 feet

Circle 3

Radius = 18

C₃ = 2πr

C₃ = 2π*18

C₃ = 36π

Considering π = 3.14

C₃ = 113 feet