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Answered

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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.

Sagot :

superkoopasirf
[tex]\text{Arc length } = \frac{\theta}{360}2\pi r [/tex]

[tex]= (\frac{300}{360})2\pi (2)[/tex]

[tex]= 4\pi(\frac{300}{360})[/tex]

[tex]= 4\pi(\frac{5}{6})[/tex]

[tex]= \frac{20\pi}{6}[/tex]

[tex]= \frac{10\pi}{3} \text{ in}[/tex]
JeanaShupp

Answer:  A. [tex]\dfrac{10}{3}\pi\ in.[/tex]

Step-by-step explanation:

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

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

Given: Radius of circle 'r'= 2 inches

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

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

[tex]l=\dfrac{300^{\circ]}{360^{\circ}}\times2\pi (2)\\\\\Rightarrow\ l=\dfrac{10}{3}\pi\ in.[/tex]

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