The same as the central angle of the circle
87 degrees
Central angle
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.
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
Central angle
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.
No.
To determine the measure of arc FE, you would typically need information about the circle, such as the central angle that intercepts the arc or the measures of other related arcs. If given, the measure of arc FE can be directly calculated from the central angle or by using the properties of the circle. Without specific numerical values or additional context, the measure cannot be determined.
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.
The arc formed where a central angle intersects the circle is called a "major arc" or "minor arc," depending on the size of the angle. The minor arc is the shorter path between the two points where the angle intersects the circle, while the major arc is the longer path. The measure of the arc in degrees is equal to the measure of the central angle that subtends it.
CONGRUENT
You also need the measure of the central angle because arc length/2pi*r=measure of central angle/360.
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