a. Central angle in the circle is: Angle BAC
b. A major arc is: Arc BEC
c. A minor arc is: Arc BC
d. measure of arc BEC is: 260°
e. m(BC) = 100°
What is a Central Angle?
A central angle has two of its sides as radii of the circle, forming an angle at the center of the circle, where the vertex is at the center of the circle.
What is a Major Arc?
A major arc has a measure that is greater than 180 degrees. That is, it is more than half a circle (semicircle). Thus, measure of major arc > 180 degrees.
What is a Minor Arc?
A minor arc has a measure that is less than 180 degrees. That is, it is not more than half a circle (semicircle). Thus, measure of minor arc < 180 degrees.
a. Central angle in the circle is: Angle BAC
b. A major arc in circle A is: Arc BEC
c. A major arc in circle A is: Arc BC.
d. Measure of arc BEC = 360 - 100 [according to the central angle theorem]
Measure of arc BEC = 260°.
e. Measure of angle BAC = 100° [given]
Measure of arc BC = angle BAC [according to the central angle theorem]
Measure of arc BC = 100°
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