Arc cd 1\4 of the circumstance of a circle. what is the radian measure of the central angle.

"Arc cd 1\4 of the circumstance of a circle. What is the radian measure of the central angle."  Better:  'The arc CD is 1/4 the circumference of a circle.  What is the radian measure of the central angle?'

That would be 1/4 of 2pi, or pi/2 (answer)

Answer

1 number

explanation

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

 

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

Ithink the answer is b