Question

A circle has a radius of \blue{3}3start color #6495ed, 3, end color #6495ed. An arc in this circle has a central angle of 20^\circ20 ∘ 20, degrees.

Answer 1

Answer: The complete question is "A circle has a radius of \blue{3}3start color #6495ed, 3, end color #6495ed. An arc in this circle has a central angle of 20^\circ20 ∘ 20, degrees. What is the length of the arc?"

The length of the arc is 1.06667 units.

Step-by-step explanation:

According to the question the radius of the circle $R=3 \, units$ and central angle of arc is $\Theta =20^{o}$

As we know that the length of the arc is given as: $L=R\Theta$

Where R is radius of the circle, L is the length of the arc and  $\Theta$ is central angle in radian.

Now, $\Theta =20^{o}\times \frac{\Pi }{180}=\frac{\Pi }{9} \, rad$

Therefore, length of the arc is

$L=3\times \frac{\Pi }{9}=\frac{\Pi }{3} =\frac{3.14}{3}=1.0466667 \, units$