Question

What is the arc length if Θ = 2 pi over 7 and the radius is 3 cm? A. 7 pi over 12

B. 12 pi over 7
C. 6 pi over 7
D. 7 pi over 6

Answer 1

`s= r\theta\\\\ s=3\cdot(2\pi )/(7)=(6\pi)/(7)`

Answer 2

Answer: Option 'C' is correct.

Explanation:

Since we have given that

`\theta=(2\pi)/(7) \\\\r=3\ cm`

An arc is a part of total circumference of circle and length of that arc is the measurement of linear distance.

Since we know the formula for "Length of an arc " , we get

`L=r* \theta\\\\L=(2\pi)/(7)* 3\\\\L=(6\pi)/(7)`

Hence, Option 'C' is correct.