Radian and Degree Measure

Question

Find the arc-length of a circle with the given radius r and central angle θ. Give the answer in the given unit of measure, rounded to the nearest hundredth.

r = 48m; θ = 135°

_____m

Answer 1

arc length = radians times radius

L = (135pi/180)x48 m

= 27pi(48)/36

= 3pi(48)/4

= 3pi(12)

= 36pi

= about 36(3.14)

= about 113.10 meters Long

Answer 2

arc length = radians times radius

L = (135pi/180)x48 m

= 27pi(48)/36

= 3pi(48)/4

= 3pi(12)

= 36pi

= about 36(3.14)

= about 113.10 meters Long

Answer 3

Hi Niki D.

Arc Length = (x/360) (2∏r)

x = central angle

r = radius

Measure of the arc length = (measure of the central angle)/360 x (2*pi*r)

If you just plug in your data you can determine the arc length.

Give it a try, please contact me if you have any questions