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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

Sagot :

JeanaShupp

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 :-

[tex]l=\frac{x}{360^{\circ}}\times2\pi r[/tex]

Given : Radius of a circle = 60 inches

Central angle =[tex]35^{\circ}[/tex]

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

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

Hence, the length of arc = 36.65 inches.

Answer:

36.65 inches

Step-by-step 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

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