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EleoNora [17]
3 years ago
5

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

Mathematics
1 answer:
11111nata11111 [884]3 years ago
6 0

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.

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