Question

In a circle with radius 3, an angle measuring 11π/6 radians intercepts an arc. Find the length of the arc in simplest form.

Answer 1

Answer:   11pi/2

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Work Shown:

L = arc length

L = (angle in radians)*(radius)

L = (11pi/6)*3

L = 11pi/2

Note: This formula only works if the angle is in radians.

Answer 2

Answer:

see below

Step-by-step explanation:

length of arc = radius x angle (measured in radians)

minor arc = 3 x $\frac{11}{6} \pi$ = $\frac{11}{2} \pi$

major arc = 3 x $(2\pi -\frac{11}{6} \pi )$ = $\frac{1}{2} \pi$