ANSWERS
• (a) Central angle: ,∠BAC
,
• (b) Major arc: ,CDE
,
• (c) Minor arc: ,BC
,
• (d) The measure of arc BC: ,100°
,
• (e) The measure of arc BCD: ,180°
EXPLANATION
(a) A central angle is an angle whose vertex is the center of the circle and its legs are radii of the same circle.
In this case, a central angle is ∠BAC
(b) A major arch is an arc whose measure is greater than 180 degrees. This would be the case of arc CDE
(c) On the other hand, a minor arc is an arc whose measure is less than 180 degrees. This is the case of arc BC
(d) The measure of an arc subtended by a central angle is the same as the measure of the angle. In this case, the measure of arc BC is the same as the measure of angle BAC, 100°
(e) For the same property stated in part (d), the measure of an arc subtended by the diameter of a circle is 180°
