Question

find the measure of the angle in radians. 9.1 rotation counterclockwise 5 and 1/5

Explanation:

Step1: Understand rotation and radians

One full rotation is \(2\pi\) radians.

Step2: Calculate total radians

For \(9.1\) rotations, multiply the number of rotations by \(2\pi\). So the formula is \(9.1\times2\pi\).

$$9.1\times2\pi=(9 + 0.1)\times2\pi=9\times2\pi+0.1\times2\pi = 18\pi+0.2\pi=18.2\pi$$

Answer:

\(18.2\pi\) radians