Answer with solution and explanation. Thank you in advance!
in Word Problem Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

The arc length is s=rθ, where r is the radius=10cm, and θ is the subtended angle. Therefore θ=s/10 radians.

The chord length L forms the base of an isosceles triangle with vertex angle θ. We can split the triangle using the perpendicular bisector from the vertex to the base. We now have two congruent right triangles with hypotenuses length r=10 and vertex angle ½θ=s/20. Using trigonometry we have ½L/10=sin½θ=sin(s/20).

So L=20sin(s/20) cm.

by Top Rated User (610k points)

Related questions

1 answer
1 answer
asked Oct 11, 2012 in Geometry Answers by anonymous | 358 views
Welcome to, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
82,167 questions
86,658 answers
76,260 users