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

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.

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 formed by two intersecting chords?

Back

The angles formed by two intersecting chords are related by the formula: angle = (angle1 + angle2)/2.

Front

What is the area of a sector of a circle?

Back

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

Front

What is the inscribed angle theorem?

Back

The inscribed angle theorem states that an inscribed angle is half of the measure of the central angle that subtends the same arc.