Question

An arc of length 10 meters is formed by a central angle A on a circle of radius 4. The measure of A in degrees (to two decimal places) is _______.

Answer 1

\(2 \pi r\) is the perimeter which corresponds to a total 360 degrees of central angle

Answer 2

setup a proportion :-

\(\frac{10}{2 \pi r} = \frac{A}{360}\)

\(\frac{10}{2 \pi * 4} = \frac{A}{360}\)

solve A

Answer 3

Nice presentation of the problem @ganeshie8

Answer 4

ty :)

Answer 5

so is it going to be 143.24?

Answer 6

Yes, good work !

Answer 7

awesome thank you

Answer 8

yw :)