4.MD.C.5.a

An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a “one-degree angle,” and can be used to measure angles. b. An angle that turns through n one-degree angles is said to have an angle measure of n degrees.

Example Problems
A sector has radius and area . What is the measure, in degrees, of the central angle of the sector?
A sector has radius and area . What is the measure, in degrees, of the central angle of the sector?
A sector has radius and area . What is the measure, in degrees, of the central angle of the sector?
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