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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.
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Does a central angle and its intercepted arc have the same measure?
yes or true
If the measure of a tangent chord angle is 54 then what is the measure of the intercepted arc inside the angle?
108
The measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle?
True -
The measure of an inscribed angle in a circle is the measure of the intercepted arc.?
Answer this question… half
What is a central angle and what is the relationship of the central angle and the intercepted arc?
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.
Related questions
The measure of an angle formed by intersecting chords is of the sum of the measures of the intercepted arcs?
It is the measure of half the intercepted arc.
What is the measure of the intercepted arc If a central angle has a measure of 45 degrees?
360 degree
If the measure of a tangent angle is 36 then what is the measure of the intercepted arc inside the angle?
72
Does a central angle and its intercepted arc have the same measure?
yes or true
If the measure of a tangent-chord angle is 74 then what is the measure of the intercepted arc inside the angle?
DK
If the measure of a tangent chord angle is 54 then what is the measure of the intercepted arc inside the angle?
108
The measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle?
True -
The measure of a tangent chord angle is twice the measure of the intercepted arc inside the angle?
false
The measure of an inscribed angle in a circle is the measure of the intercepted arc.?
Answer this question… half
What is a central angle and what is the relationship of the central angle and the intercepted arc?
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.
What is the measure of an arc that is intercepted by an inscribed angle of 30 degrees?
60 degrees
If the measure of a tangent-chord angle is 68 degrees then what is the measure of the intercepted arc inside the angle?
136
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