Angles and Arcs in Circles

Front

What is the measure of an angle formed by two radii in a circle?

Back

The measure of an angle formed by two radii in a circle is called the central angle.

Front

Define a radius in the context of a circle.

Back

A radius is a line segment that connects the center of the circle to any point on the circle.

Front

What is the relationship between the central angle and the arc it subtends?

Back

The measure of the central angle is equal to the measure of the arc it subtends.

Front

How do you calculate the measure of an arc in a circle?

Back

The measure of an arc can be calculated using the formula: (central angle/360) * circumference of the circle.

Front

What is the formula for the circumference of a circle?

Back

The circumference of a circle is given by the formula C = 2πr, where r is the radius.

Front

What is the measure of a semicircle?

Back

The measure of a semicircle is 180 degrees.

Front

If the measure of angle EFH is 65 degrees, what is the measure of the arc it intercepts?

Back

The measure of the arc intercepted by angle EFH is also 65 degrees.

Front

What is the relationship between inscribed angles and the arcs they intercept?

Back

An inscribed angle is half the measure of the arc it intercepts.

Front

How do you find the measure of an angle formed by two intersecting chords?

Back

The measure of the angle formed by two intersecting chords is equal to half the sum of the measures of the arcs intercepted by the angle.

Front

What is the measure of a full circle in degrees?

Back

The measure of a full circle is 360 degrees.