bohotness
Answered

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

C22 π/ 3 in
D75 in.

Verified Answer :

superkoopasirf

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

\(= (\frac{300}{360})2\pi (2)\)

\(= 4\pi(\frac{300}{360})\)

\(= 4\pi(\frac{5}{6})\)

\(= \frac{20\pi}{6}\)

\(= \frac{10\pi}{3} \text{ in}\)

JeanaShupp

Answer:  A. \(\dfrac{10}{3}\pi\ in.\)

Step-by-step explanation:

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

\(l=\dfrac{x}{360^{\circ}}\times2\pi r\)

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 :-

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

Related Questions