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 segment?

Back

The area of a circle segment can be calculated using the formula: Area = (r^2/2) * (θ - sin(θ)), where r is the radius and θ is the angle in radians.

Front

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

Back

The angle formed by two intersecting chords is equal to half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

Front

How do you find the length of an arc in a circle?

Back

The length of an arc can be found using the formula: Arc Length = r * θ, where r is the radius and θ is the angle in radians.

Front

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

Back

A central angle is the angle whose vertex is at the center of the circle and whose sides intersect the circle.

Front

What is the relationship between the inscribed angle and the arc it intercepts?

Back

The measure of an inscribed angle is half the measure of the arc it intercepts.

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 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 relationship between the radius and the diameter of a circle?

Back

The diameter of a circle is twice the length of the radius.