Inscribed Angles

What is the formula to find the measure of an inscribed angle?

• Measure of inscribed angle = 1/2 * (measure of intercepted arc)

• Measure of inscribed angle = measure of intercepted arc

• Measure of inscribed angle = 2 * (measure of intercepted arc)

• Measure of inscribed angle = 1/3 * (measure of intercepted arc)

What is the relationship between an inscribed angle and the arc it intercepts?

• The measure of an inscribed angle is equal to the measure of the intercepted arc.

• The measure of an inscribed angle is twice the measure of the intercepted arc.

• The measure of an inscribed angle is half the measure of the intercepted arc.

• The measure of an inscribed angle is unrelated to the intercepted arc.

If two inscribed angles intercept the same arc, what can be said about their measures?

• The measures of the inscribed angles are equal.

• The measures of the inscribed angles are complementary.

• The measures of the inscribed angles are supplementary.

• The measures of the inscribed angles are unequal.

What is the significance of inscribed angles in circle geometry?

• They are used to calculate the area of a circle.

• They help in understanding the properties of circles, including relationships between angles and arcs.

• They determine the circumference of a circle.

• They are only relevant in triangle geometry.

What is the measure of an inscribed angle that intercepts a semicircle?

• 45°

• 60°

• 90°

• 120°

If angle ACB is 22.5°, what is the measure of arc AB?

• 30°

• 45°

• 60°

• 90°

How do you find the measures of angles formed by intersecting chords inside a circle?

• The measure of the angle is equal to half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

• The measure of the angle is equal to the sum of the measures of the arcs intercepted by the angle.

• The measure of the angle is equal to the difference of the measures of the arcs intercepted by the angle.

• The measure of the angle is equal to the average of the measures of the arcs intercepted by the angle.

What is the measure of angle A if arc BC measures 126°?

• 45°

• 63°

• 72°

• 90°

What is the measure of arc FE if inscribed angle EFD measures 27°?

• 27°

• 54°

• 36°

• 72°

What is an inscribed angle?

• An angle formed by two chords in a circle with a common endpoint, where the vertex is on the circle.

• An angle formed by two tangents to a circle from a point outside the circle.

• An angle formed by a radius and a tangent to the circle.

• An angle formed by two secants intersecting outside the circle.