Radian and Degree Measure

Question

Find the arc-length of the sector 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 = 25 cm; θ = 2π/7



_____cm

Answer 1

Answer: 22.44 cm

arc length = radius x radians = 25 x 2pi/7 = 50pi/7 = about (50)(3.141593)/7

= 22.4399 rounded to nearest 4 decimal places

= 22.44 centimeters

rounded to nearest hundredth

Answer 2

Hello Niki,

The formula to find the arc length is: arc_length = radius * (central angle in RADIANS)

So all you have to do is grab your calculator and do 25 * 2π/7.

I did it on mine and I get 22.4399475256....

I'll let you round to the nearest hundredth, aka "only keep 2 digits AFTER the decimal"

You got this.