The same as the central angle of the circle
87 degrees
Examples to show how to use the property that the measure of a central angle is equal to the measure of its intercepted arc to find the missing measures of arcs and angles in given figures.
Central angle
No.
In a circle, a central angle is formed by two radii. By definition, the measure of the intercepted arc is equal to the central angle.
87 degrees
Examples to show how to use the property that the measure of a central angle is equal to the measure of its intercepted arc to find the missing measures of arcs and angles in given figures.
Central angle
No.
In a circle, a central angle is formed by two radii. By definition, the measure of the intercepted arc is equal to the central angle.
the measure of a minor arc equals the measure of the central angle that intercepts it.
An arc can be measured either in degree or in unit length. An arc is a portion of the circumference of the circle which is determined by the size of its corresponding central angle. We create a proportion that compares the arc to the whole circle first in degree measure and then in unit length. (measure of central angle/360 degrees) = (arc length/circumference) arc length = (measure of central angle/360 degrees)(circumference) But, maybe the angle that determines the arc in your problem is not a central angle. In such a case, find the arc measure in degree, and then write the proportion to find the arc length.
You also need the measure of the central angle because arc length/2pi*r=measure of central angle/360.
CONGRUENT
155
38
360 degree