Question

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

Answer 1

Answer: 36.65 inches

Step-by-step explanation:

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

$l=\frac{x}{360^{\circ}}\times2\pi r$

Given : Radius of a circle = 60 inches

Central angle =$35^{\circ}$

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

$l=\frac{35^{\circ}}{360^{\circ}}\times2\pi(60)\\\\\Rightarrow\ l=(0.097222222222)2(3.14159265359)(60)=36.6519142918\approx36.65$

Hence, the length of arc = 36.65 inches.