Segments in Circles

Front

What is a segment in a circle?

Back

A segment in a circle is a region bounded by a chord and the arc that it subtends.

Front

What is the formula for the area of a circle?

Back

The area of a circle is given by the formula A = πr², where r is the radius.

Front

What is the relationship between the angles formed by two intersecting chords in a circle?

Back

The angles formed by two intersecting chords are related such that the measure of each angle is equal to half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

Front

What is a chord in a circle?

Back

A chord is a line segment whose endpoints lie on the circle.

Front

What is the diameter of a circle?

Back

The diameter is a chord that passes through the center of the circle and is the longest chord.

Front

What is the relationship between the radius and diameter of a circle?

Back

The diameter is twice the length of the radius (d = 2r).

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 an arc in a circle?

Back

An arc is a portion of the circumference of a circle.

Front

What is a sector in a circle?

Back

A sector is a region enclosed by two radii and the arc between them.

Front

How do you find the length of an arc?

Back

The length of an arc can be found using the formula L = (θ/360) × 2πr, where θ is the central angle in degrees.