math
posted by mavis .
A circular arc has measure 22ft and is intercepted by a central angle of 27 degrees . Find the radius of the circle.

2πr/22 = 360/27
r = 22(360)/(54π) = 46.69 ft
check:
circum = 2π(46.69) = 293.3333
arc = (27/360)(293.3333 = 22
Respond to this Question
Similar Questions

Trigonometry
FInd the arc length intercepted by a central angle of 46 degrees 24'6" in a circle with a radius of 35.62m 
PreCalculuscheck answers
Find the degree measure of the central angle whose intercepted arc measures 8cm in a circle of radius 15cm. Answer: 401.07 degrees 
pre calcalus
a circle with 4 inch radius, find length of arc when intercepted by central angle of 240 degrees 
Math
The measure of an angle formed by two secants intersecting inside the circle equals a.½ the sum of the intercepted arcs b.½ the difference of the intercepted arcs c.½ the measure of the intercepted arc I need help please! 
trig
find, to the nearest tenth of a meter, the length of the arc intercepted by a central angle of 160 degrees if a radius of the circle in 8 meters long 
trig
Find the length of the circular arc intercepted by a central angle of 20 degrees in a circle or radius 5cm 
trig
What is the length of the circular arc intercepted by a central angle of 20degrees in a circle with a radius of 5cm? 
math advanced functions
a) Determine the measure of the central angle that is formed by an arc length of 5 cm in a circle with a radius of 2.5cm. Express the measure in both radians and degrees, correct to one decimal place. b) Determine the arc length of … 
Precalculus
The length of the radius of a circle is 12 cm at the measure of a central angle, alpha, is 5pi/6. What is the length of the intercepted arc? 
Math
A circle has a radius of 8cm . Find the length s of the arc intercepted by a central angle of 110° .