SOLUTION: How do you find the radian measure of the central angle of a circle of radius 1 yard that intercepts an arc of length 4 yards?

Question 304097: How do you find the radian measure of the central angle of a circle of radius 1 yard that intercepts an arc of length 4 yards?
Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
How do you find the radian measure of the central angle of a circle of radius 1 yard that intercepts an arc of length 4 yards?
The circumference of the circle is given by pi*diameter so we have pi*2 for the circumference. The portion of the 2*pi circumference for the whole circle for this arc is (4/2*pi). The total angular measure of the circle is also 2*pi (or 360 degrees.)
So we the radian measure of the angle is ((4/(2*pi))*(2*pi)= 4 radians.
RELATED QUESTIONS
find the radian measure of the central angle of a circle of radius r=4 inches that... (answered by Alan3354)

Find the radian measure of the central angle of a circle of radius r that intercepts an... (answered by lwsshak3)

find the radian measure of the central angle of a circle of radius r=4 inches that... (answered by Fombitz)

Find the radian measure of the central angle of a circle with a radius of 12 feet that... (answered by stanbon)

Find the radian measure of the central angle of a circle with a radius of 10 inches that... (answered by Alan3354)

find the radian measure of the central angle of the circle of radius 6 centimeters that... (answered by lwsshak3)

Find the radian measure of the central angle of the circle of radius 7 centimeters that... (answered by Alan3354,josgarithmetic)

can someone please help me with this question: find the radian measure of the central... (answered by praseena)

A circle has a radius of 1.5 inches. A central angle of this circle intercepts an arc... (answered by Alan3354)