70.3k views
5 votes
Arc length s. Central Angle 36 feet. π/2 radiansFind the radius r of a circle with an arc length s and a central angle 0.

1 Answer

3 votes

The formula for determining the length of an arc is expressed as

length of arc = #/360 * 2 * pi * radius

where

# represents the central angle

From the information given

length of arc = 36

We would convert from radians to degree

1 pi rad = 180 degrees

pi/2 rad = 180/2 = 90 degrees

Thus, # = 90 degrees

The equation becomes

36 = 90/360 * 2 * pi * radius

36 = 0.25 * 2 * 3.14 * radius

36 = 1.57 * radius

radius = 36/1.57

radius = 22.93 feet

User Kevin Chandra
by
8.4k points

Related questions

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories