Question

Compute the diameter of a circle with a circumference of 34 feet

Answer 1

d ≈ 10.8 feet

Explanation:

the circumference (C) of a circle is calculated as

C = πd ( where d is the diameter )

given C = 34 , then

πd = 34 ( divide both sides by d )

d ≈ 10.8 feet ( to 1 dec. place )

Answer 2

The diameter of circle is 10.82 feet.

Step-by-step explanation:

Given :

• Circumference of circle = 34 feet

To Find :

• Radius of circle
• Diameter of circle

Using Formulas :

`\longrightarrow\sf{Circumference_((Circle)) = 2 \pi r}`

`\longrightarrow\sf{Diameter_((Circle)) = 2r}`

Where

• π = 3.14
• r = radius

Solution :

Finding the radius of circle by substituting all the given values in the formula :

`\longrightarrow\sf{Circumference_((Circle)) = 2 \pi r}`

`\longrightarrow\sf{34 = 2 \pi r}`

`\longrightarrow\sf{34 = 2 * 3.14 * r}`

`\longrightarrow\sf{34 = 6.28 * r}`

`\longrightarrow\sf{ r = (34)/(6.28)}`

`\longrightarrow\sf{\underline{\underline{ r \approx 5.41}}}`

Hence the radius of circle is 5.41 feet

`\begin{gathered} \end{gathered}`

Now, calculating the diameter of circle by substituting the given value in the formula :

`\longrightarrow\sf{Diameter_((Circle)) = 2r}`

`\longrightarrow\sf{Diameter_((Circle)) = 2 * r}`

`\longrightarrow\sf{Diameter_((Circle)) \approx 2 * 5.14}`

`\longrightarrow\sf{Diameter_((Circle)) \approx 10.82}`

Hence, the diameter of circle is 10.82 feet.

————————————————