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.
yes or true
108
True -
Answer this question… half
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.
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.
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.
It is the measure of half the intercepted arc.
360 degree
72
yes or true
DK
108
True -
false
Answer this question… half
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.