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 radius and diameter of a circle?

Back

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

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 central angle of a circle?

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides are radii.

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 relationship between the angles subtended by the same arc at the center and on the circumference of the circle?

Back

The angle subtended at the center is twice the angle subtended at the circumference.

Front

What is a sector in a circle?

Back

A sector is a region of a circle bounded by two radii and the arc between them.

Front

What is the formula for the area of a sector?

Back

The area of a sector is given by the formula A = (θ/360) × πr², where θ is the central angle in degrees.

Front

What is the relationship between the lengths of arcs and the radius of the circle?

Back

The length of an arc is directly proportional to the radius of the circle and the measure of the central angle.