Question

Find the circumference of a
circle with diameter, d=13.6

Answer 1

`\large\boxed{\tt Circumference \approx 42.73 \ units.}`

Explanation:

`\textsf{We are asked to find the circumference of a circle with a given diameter.}`

`\textsf{We are able to find the Circumference with just the diameter.}`

`\large\underline{\textsf{What is the Circumference?}}`

`\textsf{Circumference is the perimeter outside of a circle, this represents the sum of the}`

`\textsf{lengths of curved arcs.}`

`\large\underline{\textsf{What is a Diameter?}}`

`\textsf{A Diameter is a chord that intersects the center point of a circle. Note that a}`

`\textsf{}`
`\textsf{will always intersects a center point. The Endpoints of a Diameter are layed on}`

`\textsf{the Circumference of a circle.}`

`\large\underline{\textsf{Finding the Circumference;}}`

`\textsf{Mathematicians have discovered a way to find the circumference of a circle. They}`

`\textsf{figured out that the circumference is } \tt \pi \ \textsf{times greater than the diameter.}`

`\textsf{Let's turn this into a formula.}`

`\tt Circumference = \pi * diameter`

`\large\underline{\textsf{Solving;}}`

`\textsf{Because we are given the diameter, we can substitute the value of the diameter}`

`\textsf{inside to evaluate the circumference.}`

`\underline{\textsf{Substitute;}}`

`\tt Circumference = \pi * 13.6 \rightarrow \tt Circumference = 13.6 \pi`

`\large\boxed{\tt Circumference \approx 42.73 \ units.}`

Answer 2

42.73

Explanation:

C = 2πr

To find r you divide 13.6 by 2 (radius is half of diameter)

13.6/2 = 6.8

C = 2π(6.8)

C = 6.28(6.8)

C = 42.73