Question

The diameter of a circle is 13 ft. Find its circumference in terms of π.

Answer 1

• 
  `13\pi \: ft`

Explanation:

To find:-

• The circumference of the circle in terms of π .

Answer:-

We are here given that the diameter of a circle is 13ft . We are interested in finding out the circumference of the circle.

Firstly we know that radius is half of the diameter . So we can calculate the radius as ,

`\longrightarrow r =(d)/(2) \\`

Substitute the respective value ,

`\longrightarrow r =(13)/(2) \ ft\\`

`\longrightarrow r = 6.5 \ ft \\`

Secondly we can find the circumference as ,

`\longrightarrow \boxed{\rm Circumference= 2\pi r } \\`

where "r" is the radius of the circle.

On substituting the respective values, we have;

`\longrightarrow C = 2 \pi* 6.5 \ ft \\`

`\longrightarrow \boxed{\boldsymbol{ C = 13\pi \ ft }} \\`

Hence the circumference of the circle is 13π ft .