In a circle of diameter 42cm an arc subtends angle 60 ˚, find the length of the arc ?

math
In a circle of diameter 42cm an arc subtends angle 60 ˚, find the length of the arc ?

In a circle of diameter 42cm ,if an arc subtends an angle of 60 ˚ at the centre where ∏=22/7,then the length of the arc is
(a) 22/7 cm
(b) 11cm
(c) 22 cm
(d) 44 cm
Solution :- 
As we know that the circumference of a circle is 2 πr.
Here in this post there is a theorem used. Called arc theorem.
Theorem :- An angle subtended by an arc at the center of a circle is equal to the twice from the angle at any point.
One more theory said that, when a minor arc make an angle theta at the center of a circle, then the length of the arc is equal to,
Length of an arc = θ / 360 × 2πr.
Here θ = 60 degree.
Now, 
Length of the arc is = 60 / 360 × 2πr.
Length of the arc = 22.
Hence, option C is right.

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    Aditya Raj Anand (Msc Physics student) is a dedicated book author and the founder of Science laws a well-regarded blog that deliver science related News and Education. Aditya holds a Bachelor of Science (B.Sc.) in Mathematics, currently doing Master in Physics. A discipline that has fueled his lifelong passion for understanding and demonstrating complex scientific principles. Throughout his academic journey, he developed a deep interest in simplifying challenging concepts in science and making them more accessible to a wider audience. He is written science for more than 5 years. He has served as a writer, editor and analyst at science laws since its inception.

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