IM2: DL "Properties of Circles" 2020

Front

What is the measure of a central angle in a circle?

Back

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

Front

Define a major arc in a circle.

Back

A major arc is an arc that is larger than a semicircle, measured by the larger of the two arcs connecting two points on the circle.

Front

What is the formula for finding the length of an arc in a circle?

Back

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

Front

How do you calculate the area of a sector in a circle?

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 radius and the length of an arc?

Back

The length of an arc is directly proportional to the radius of the circle; as the radius increases, the length of the arc increases.

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 difference between a minor arc and a major arc?

Back

A minor arc is smaller than a semicircle, while a major arc is larger than a semicircle.

Front

How do you find the measure of an angle formed by two chords in a circle?

Back

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

Front

What is the formula for the circumference of a circle?

Back

The circumference of a circle can be calculated using the formula: C = 2πr, where r is the radius.

Front

What is the significance of the central angle in relation to arcs?

Back

The central angle determines the size of the arc it intercepts; the larger the central angle, the longer the arc.