Question

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

Answer 1

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

Step-by-step explanation:

Given

Central angle is $57^{\circ}$

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

Arc length is given by

$\Rightarrow l=\dfrac{\theta}{360^{\circ}}\times 2\pi r$

Put the values

$\Rightarrow l=\dfrac{57}{360}\times 2\pi \cdot1\\\\\Rightarrow l=0.99\ \text{units}$