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Find the arc length of a central angle 300 degrees in a circle whose radius is 2 inches? help now ASP I NEED HELP A.10 π/ 3 in

B.1200 in
C. 22 π/ 3 in
D. 75 in.

User Ed Orsi
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2 Answers

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\text{Arc length } = (\theta)/(360)2\pi r


= ((300)/(360))2\pi (2)


= 4\pi((300)/(360))


= 4\pi((5)/(6))


= (20\pi)/(6)


= (10\pi)/(3) \text{ in}
User Tushar Patel
by
7.4k points
6 votes

Answer: A.
(10)/(3)\pi\ in.

Explanation:

The formula to calculate the arc length with central angle x and radius r given by :-


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

Given: Radius of circle 'r'= 2 inches

The central angle 'x'=
300^{\circ]

Now, the arc length of a central angle
300^{\circ] in a circle whose radius is 2 inches is given by :-


l=\frac{300^(\circ]){360^(\circ)}*2\pi (2)\\\\\Rightarrow\ l=(10)/(3)\pi\ in.

User Jozef Spisiak
by
8.0k points

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