Question

What is the circumference of a circle in which a chord 6 cm long subtends an arc equal to one third the circumference?

Answer 1

circumference = 2pi r
length of arc = rx = 2pi r /3

solve for x

now from cosine law or any other legal method, you may solve for r, and thus solve for circumference..

Answer 2

@shubhamsrg , \[4\sqrt{3} \pi cm?\]

Answer 3

bingo ! :D

Answer 4

thank you :)

Answer 5

glad to help :)