a. Angle BAC is a central angle.
b. Arc BEC is a major arc.
c. Arc BC is a minor arc.
d. m(BEC) = 260°
e. m(BC) = 100°
An arc that has a measure that is greater than 180 degrees or is greater than a semicircle (half a circle) is referred to as a major arc.
An arc that has a measure that is less than 180 degrees or is not up to a semicircle (half a circle) is referred to as a minor arc.
A central angle can be described as an angle with a vertex at the center of a circle and has two radii of the circle at sides.
a. Angle BAC is a central angle.
b. Arc BEC is a major arc.
c. Arc BC is a minor arc.
d. m(BEC) = 360 - 100 [central angle theorem]
m(BEC) = 260°
e. m(BC) = angle BAC = 100° [central angle theorem]
m(BC) = 100°
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