Question

Find the diameter of a circle with a circumference of 443 feet. Use 3.14 for pi.

70.5 feet

141 feet

142 feet

282 feet

Answer 1

The diameter of circle is 141 feet.

Step-by-step explanation:

Solution :

Firstly, finding the radius of circle by substituting the values in the formula :

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

`\longrightarrow \sf{443 \: feet = 2\pi r}`

`\longrightarrow \sf{443 = 2 * 3.14 * r}`

`\longrightarrow \sf{443 = 6.28* r}`

`\longrightarrow \sf{r = 443 / 6.28}`

`\longrightarrow \sf{r = (443)/(6.28)}`

`\longrightarrow \sf{r = (443)/(6.28)}`

`\longrightarrow \sf{r \approx 70.54 \: ft}`

Hence, the radius of circle is 70.54 feet.

`\rule{200}2`

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

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

`\longrightarrow{\sf{Diameter_((Circle)) = 2 * 70.54}}`

`\longrightarrow{\sf{Diameter_((Circle)) = 141 \: ft}}`

Hence, the diameter of circle is 141 feet.

`\rule{300}{2.5}`

Answer 2

`\huge\boxed{\sf d = 141\ feet}`

Explanation:

Given Data:

Circumference = C = 443 ft

Required:

Diameter = d = ?

Formula:

d = C / π

Solution:

d = 443 / 3.14

d = 141.0 feet

d = 141 feet

`\rule[225]{225}{2}`

Hope this helped!

~AH1807