a central angle in a circle of radius 2 cm cuts off an arc of 4.6 cm. What is the measure of the angle in radians? Then what is the measure of the angle in degrees?

Question

a central angle in a circle of radius 2 cm cuts off  an arc of 4.6 cm.  What is the measure of the angle in radians? Then what is the measure of the angle in degrees?

anonymous · Answer

someone help me please

directrix · Answer

4.6 is to the circumference of the circle as the degree measure of arc is to 360 degrees.

4.6/(4*pi) = x/360  where (4*pi) is the circumference of the circle.

Cross Multiply an solve for x to get the angle in degree. The measure of a central angle is also the measure of its intercepted arc.

@julieefang