Question

What is the length of an arc of circle of radius 5 cm. whose central angle is of 140°

Answer 1

Answer:

length will be two centimeter I hope you understand I

Answer 2

Answer: Arc length=12.211cm

Step-by-step explanation:

$[S=r\theta] \\S=length\ of\ arc \\r=Radius\\\theta =Central\ angle\ in\ radians$

To convert degrees into radians it is multiplied by π/180 degrees:

$140^{0\times }\pi /180^{0}=7\pi /9\ radian$

$S=5cm\times 7\pi /9=12.211cm$

The length of an arc whose radius is 5cm and the central angle is 140 degrees is the product of radius(5cm) and central angle(140 degrees) in radian which is 12.211 cm.