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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 measure of a intercepted arc?

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.


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.


What is an Arc cut off by a central angle called?

Intercepted arc I believe


If the radius of a circle is doubled how is the length of the arc intercepted by a fixed central angle changed?

If the radius of a circle is tripled, how is the length of the arc intercepted by a fixed central angle changed?


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 relationship between a central angle and its intercepted arc?

The central angle of a circle is formed by two radii that extend from the center of the circle to its circumference. The intercepted arc is the part of the circle's circumference that lies between the two points where the radii intersect the circle. The measure of the central angle is equal to the measure of the intercepted arc in degrees. Thus, if the central angle measures θ degrees, the intercepted arc also measures θ 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.


Does a central angle and its intercepted arc have the same measure?

yes or true


What is the measure of an arc that is intercepted by an inscribed angle of 30 degrees?

60 degrees


The measure of an inscribed angle in a circle is the measure of the intercepted arc?

The lengthÊof an inscribed angle placed in a circle based on on the measurement of a intercepted arc is called a Theorem 70. The formula is a m with a less than symbol with a uppercase C.


What is the measure of the intercepted arc If a central angle has a measure of 45 degrees?

360 degree