Arcs and Angles in Circles

Front

What is an arc in a circle?

Back

An arc is a portion of the circumference of a circle, defined by two endpoints on the circle.

Front

What is the measure of a central angle?

Back

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

Front

How do you calculate the measure of an inscribed angle?

Back

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

Front

What is the relationship between arcs and angles in a circle?

Back

Arcs and angles in a circle are related; the measure of an angle formed by two chords is equal to half the sum of the measures of the arcs intercepted by the angle.

Front

Define a minor arc.

Back

A minor arc is an arc that is smaller than a semicircle, measuring less than 180 degrees.

Front

Define a major arc.

Back

A major arc is an arc that is larger than a semicircle, measuring more than 180 degrees.

Front

What is a semicircle?

Back

A semicircle is an arc that measures exactly 180 degrees, formed by a diameter of the circle.

Front

How do you find the length of an arc?

Back

The length of an arc can be found using the formula: Length = (θ/360) * 2πr, where θ is the central angle in degrees and r is the radius.

Front

What is the formula for the area of a sector?

Back

The area of a sector can be calculated using the formula: Area = (θ/360) * πr², where θ is the central angle in degrees and r is the radius.

Front

What is the relationship between the angles 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.