Circle Segments

Front

What is a circle segment?

Back

A circle segment is a region of a circle that is bounded by a chord and the arc that connects the endpoints of the chord.

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 a tangent line and a circle?

Back

A tangent line to a circle is a straight line that touches the circle at exactly one point and is perpendicular to the radius at that point.

Front

How do you find the length of a tangent segment from a point outside the circle?

Back

The length of the tangent segment can be found using the formula: Length = √(d^2 - r^2), where d is the distance from the point to the center of the circle and r is the radius.

Front

What is the angle formed by two tangents drawn from a point outside the circle?

Back

The angle formed by two tangents drawn from a point outside the circle is equal to half the difference of the intercepted arcs.

Front

If two chords intersect inside a circle, how do you find the lengths of the segments?

Back

The lengths of the segments can be found using the formula: (a)(b) = (c)(d), where a and b are the segments of one chord and c and d are the segments of the other chord.

Front

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

Back

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

Front

How do you calculate the measure of an inscribed angle?

Back

The measure of an inscribed angle is half the measure of the intercepted arc.

Front

What is the difference between a secant and a tangent?

Back

A secant is a line that intersects a circle at two points, while a tangent is a line that touches the circle at exactly one point.

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.