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Jet001 [13]
3 years ago
8

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

Mathematics
2 answers:
son4ous [18]3 years ago
8 0
<span>circumference = 60*PI cm
If an arc is 140 degrees of the circle then its length =
</span>
<span>60*PI cm * (140 / 360)
arc length = 23.33333 cm

</span>
kirill [66]3 years ago
3 0

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.

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