How would you find the length of the arc on a circle with a radius of 20 m intercepted by a central angle of 138°?

2 Answers
Nov 15, 2015

Answer:

Find the circumference of the circle, then ...

Explanation:

Circumference #=2pir=2pi(20)=40pi# meters

Arc Length #=(central angle)/(360^o)xx(Circumference)=138/360xx40pi#

#=46/3pi~~48.2# meters

hope that helps

Nov 15, 2015

Answer:

I found #48.16m#

Explanation:

You can use the fact that the length #s# of an arc to an angle #theta# (in radians) of a circle of radius #r# is:
#s=r*theta#
in your case:
#theta=138^@=138^@/(180^@)*pi=2.408 "rad"#
So:
#s=2.408*20=48.16m#