Question

The circumference of a circle is 60 pi cm. What is the length of an arc of 140 degrees

Answer 1

circumference = 60*PI cm
If an arc is 140 degrees of the circle then its length =

60*PI cm * (140 / 360)
arc length = 23.33333 cm

Answer 2

Answer:

The length of the arc is 73.30 cm.

Step-by-step explanation:

Given : The circumference of a circle is $60\pi cm$

To find : What is the length of an arc of 140 degrees.

Solution :

Circumference is $C=2\pi r$

$60\pi=2\pi r$

$r=30 cm$

The radius of the circle is 30 cm.

Angle of arc is $\theta = 140^\circ$

The angle is in radian so first we convert into radian as $1^\circ = \frac{\pi}{180}$

So, $140^\circ = \frac{140\pi}{180}$

The formula of arc length is $l=r\times \theta$

Where, l is the length of the arc , r is the radius of circle ,  $\theta$ is the angle in radian.

Substitute the value in the formula,

$l =30 \times \frac{140\pi}{180}$

$l =73.303cm$

Therefore, The length of the arc is 73.30 cm.