Question

Help me Find the arc length of a circle in terms of pi

Answer 1

3π Radian

Explanation:

`we \: have \: \: \: s = r \alpha \\ here \: s = arc \: length \\ r = radious \: of \: circle \\ \alpha = centre \: angle \: of \: current \: circle \\ so \\ s = 27 * 20 \\ \: \: \: = 540 \\ \: \: \: \: \: = 540 * (\pi)/(180) \\ \\ \: \: \: \: = 3\pi \: radian`

Answer 2

3

Explanation:

Recall that the full circumference of a circle can be represented by an angle of 360°.

In our case, we are asked to find the arc AB on the circumference of a circle that is represented by an angle of only 20°

hence the fraction of the circumference that is represented by arc AB

= 20° / 360°

= 1/18

we can thus say that the length of AB is 1/18 of the total circumference

Arc Length of AB

= (1/18) of total circumference

= (1/18) x 2π x radius

= (1/18) x 2π x 27

= 3π units