Question

In a circle of radius 60 inches, a central angle of 35 will intersect the circle forming an arc of length _____.

36.65 inches

14.58 feet

36.65 feet

175 inches

Answer 1

36.65 inches

Explanation:

To calculate arc length, multiply theta (in radians) with radius.

First, convert 35 degrees to radians (35pi)/180= 0.61087

Then, multiply by 60 inches= 36.65

36.65 inches

Answer 2

Answer: 36.65 inches

Explanation:

The length of arc with a central angle x and radius r in a circle is given by :-

`l=(x)/(360^(\circ))*2\pi r`

Given : Radius of a circle = 60 inches

Central angle =
`35^(\circ)`

Now, the of length of arc is given by :-

`l=(35^(\circ))/(360^(\circ))*2\pi(60)\\\\\Rightarrow\ l=(0.097222222222)2(3.14159265359)(60)=36.6519142918\approx36.65`

Hence, the length of arc = 36.65 inches.