Chapter E, Problem 11.10EX

To determine

To find the length of the arc AB of a circle with radius 6.

Answer to Problem 11.10EX

Option (c)

Explanation of Solution

Given information: Sector of the circle with radius 6 units and sector angle at ${90}^{°}$

Concept used:

  $\text{Length of the arc}=\frac{\theta }{{360}^{°}}\times 2\pi r$

Here, $\theta ={90}^{°};r=6$

  $\text{Length of the arc}=\frac{90}{{360}^{°}}\times 12\pi =3\pi$

Hence, the length of the arc AB is $3\pi$ units .