Question

For the given central angle, determine the distance traveled along the unit circle from the point (1,0). 57

Answer 1

Answer: (a)-
`0.99\ \text{units}`

Explanation:

Given

Central angle is
`57^(\circ)`

The radius of the unit circle is
`1\ \text{unit}`

Arc length is given by

`\Rightarrow l=(\theta)/(360^(\circ))* 2\pi r`

Put the values

`\Rightarrow l=(57)/(360)* 2\pi \cdot1\\\\\Rightarrow l=0.99\ \text{units}`