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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.
If an inscribed angle measures 67 and deg how would you find intercepted arc?
To find the measure of the intercepted arc for an inscribed angle, you can use the formula that states the measure of the intercepted arc is twice the measure of the inscribed angle. In this case, if the inscribed angle measures 67 degrees, you would calculate the intercepted arc as 2 × 67 degrees, which equals 134 degrees. Therefore, the intercepted arc would measure 134 degrees.
If the measure of a tangent chord is 74 degrees then what os the measure if the intercepted arc inside the angle?
The measure of the intercepted arc is twice the measure of the tangent chord's angle. Therefore, if the measure of the tangent chord is 74 degrees, the measure of the intercepted arc would be 2 × 74 degrees, which equals 148 degrees.
How does the measure of an inscribed angle relate to the measure of its intercepted arc?
The measure of an inscribed angle is half the measure of its intercepted arc. This means that if you know the degree measure of the arc that lies between the two points on the circle where the inscribed angle's rays intersect the circle, you can find the angle's measure by dividing the arc's measure by two. This relationship holds true for any inscribed angle and its corresponding intercepted arc in a circle.
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
