SOLUTION: The arc length of a circle is 18π and the radius of the same circle is 36 cm. How big is the central angle that subtends the arc?

Question 1138270: The arc length of a circle is 18π and the radius of the same circle is 36 cm. How big is the central angle that subtends the arc?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The arc length of a circle is and the radius of the same circle is .
How big is the central angle that subtends the arc?

..... both sides multiply by

or this way:
The arc length of a circle is which is a portion of the circumference
if the radius of the same circle is ,
find ratio => central angle is of full angle which is degrees

RELATED QUESTIONS
The area of the circle is 81pi sq. cm. Find the arc length of this circle that subtends a (answered by ikleyn)

Find the length of an arc that subtends a central angle of 105° in a circle of radius 9... (answered by Alan3354)

In a circle of radius 3 miles, the length of the arc that subtends a central angle of 3... (answered by ikleyn)

A circle has a central angle measuring 7pi/6 radians that intersects an arc of length 18... (answered by josgarithmetic)

Find the length s of an arc that subtends a central angle of 311� in a circle of radius 2 (answered by Alan3354)

Determine the arc length if the central angle measures 40 degrees and the radius of the... (answered by dkppathak)

On a circle of radius 6 meters, how long is an arc that subtends a central angle of 85�? (answered by Edwin McCravy)

In a circle with 5 cm radius, an 11 cm arc subtends a central angle of how many radians?... (answered by stanbon)

What is the measure in radians for the central angle of a circle whose radius is 8 cm and (answered by Alan3354)