Math 3: Central and Inscribed Angles

Front

What is a central angle?

Back

An angle in a circle with its vertex at the center of the circle.

Front

What is an inscribed angle?

Back

An angle formed by two chords in a circle which have a common endpoint.

Front

What is the relationship between a central angle and an inscribed angle that subtend the same arc?

Back

The measure of the central angle is twice the measure of the inscribed angle.

Front

If the measure of arc JH is 130 degrees, what is the measure of the central angle that subtends arc JH?

Back

130 degrees.

Front

If an inscribed angle measures 40 degrees, what is the measure of the central angle that subtends the same arc?

Back

80 degrees.

Front

What is a radius of a circle?

Back

A line segment from the center of the circle to any point on the circle.

Front

Which segments are considered radii in a circle?

Back

Any line segments that connect the center of the circle to points on the circle.

Front

What is the formula to find the measure of an arc in a circle?

Back

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

Front

If the radius of a circle is 5 cm, what is the length of the diameter?

Back

10 cm.

Front

What is the difference between a chord and a diameter?

Back

A chord is a line segment with both endpoints on the circle, while a diameter is a chord that passes through the center of the circle.