a. Central angle: Angle BAC
b. Major arc: Arc BEC
c. Minor arc: Arc BC
d. m(BEC) = 260°
e. m(BC) = 100°
A major arc can be defined as an arc that has a measure that is greater than a semicircle (half a circle) or greater than 180 degrees.
A minor arc can be defined as an arc that has a measure that is less than a semicircle (half a circle) or less than 180 degrees.
An angle whose vertex is at the center of a circle and has two radii of as its sides is called a central angle of a circle.
a. Central angle in the image given is: Angle BAC
b. Major arc of the circle is: Arc BEC
c. Arc BC is a minor arc.
d. m(BEC) = 360 - 100 [based on the central angle theorem]
m(BEC) = 260°
e. angle BAC = 100°
m(BC) = angle BAC [based on the central angle theorem]
m(BC) = 100°
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