SOLUTION: A central angle theta in a circle of radius 100cm subtends an arc length of 250cm. Find the measure of the angle in radians and in degrees.
please be descriptive
Thank you
Algebra.Com
Question 967391: A central angle theta in a circle of radius 100cm subtends an arc length of 250cm. Find the measure of the angle in radians and in degrees.
please be descriptive
Thank you
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
Radius 100 means circumference is . The given arc length is a fraction of the , and therefore that fraction of the radians.
Radian measure of the arc
, in radians.
Next use the fact, radians is 360 degrees.
RELATED QUESTIONS
An arc of length 135 m subtends a central angle θ in a circle of radius 45 m. Find... (answered by lwsshak3)
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, a central angle of 1/3radians subtends an arc of 3 centimeters. Find the... (answered by Alan3354,macston)
An arc length of 120 cm subtends a central angle of radius 48 cm . Find the central angle (answered by Alan3354)
Find the radius of a circular arc of length 12cm that subtends a central angle of radian... (answered by 303795)
Find the radius of a circle on which a central angle of radians subtends an arc of
60... (answered by ikleyn)
A central angle of 140º subtends an arc of length 10 feet on a circle. Find the radius of (answered by stanbon)
Find the radius of the circle if an arc of length 2pi/3 m on the circle subtends a... (answered by josgarithmetic,MathTherapy)
an arc of length 32 in is found in a circle with a radius of 8 in. find the measure of... (answered by stanbon,ankor@dixie-net.com,Alan3354)