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.

Author

  • Screenshot 20251013 200324 782

    Aditya Raj Anand 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, 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 and making them more accessible to a wider audience.

    As an author, He published Physics for class 9, physics for class 10, General science and technology For BPSC & UPSC

    Aditya's Trophy cabinet as an Author

    You can also connect with Aditya on Instagram at @sciencelaws.in, where he shares his thoughts and provides explanations on topics related to space, Technology, Physics, Chemistry and Scriptures.

Discover more from Science laws

Subscribe to get the latest posts sent to your email.

Leave a ReplyCancel reply

This site uses Akismet to reduce spam. Learn how your comment data is processed.