7.3 Segment Length in Circles

Front

What is a chord in a circle?

Back

A line segment on the interior of a circle with endpoints on the circle.

Front

What is the radius of a circle?

Back

The distance from the center of the circle to any point on its circumference.

Front

What is the diameter of a circle?

Back

A line segment that passes through the center of the circle and has endpoints on the circle, equal to twice the radius.

Front

What is a secant in a circle?

Back

A line that intersects a circle at two points.

Front

If the radius of a circle is 5 cm, what is the diameter?

Back

10 cm (Diameter = 2 * Radius).

Front

If a chord is 12 cm long and the radius is 7 cm, what is the distance from the center of the circle to the chord?

Back

5.5 cm (Using the perpendicular distance from the center to the chord formula).

Front

What is the relationship between a chord and a secant?

Back

A chord is a specific type of secant that intersects the circle at exactly two points.

Front

If x is the length of a chord in a circle with a radius of 10 cm, what is the maximum possible value of x?

Back

20 cm (The maximum length of a chord is equal to the diameter).

Front

Solve for x: A chord is 6 cm long in a circle with a radius of 5 cm. What is the distance from the center to the chord?

Back

4 cm (Using the Pythagorean theorem).

Front

What is the formula for the length of a chord given the radius and the angle subtended at the center?

Back

Length of chord = 2 * r * sin(θ/2), where r is the radius and θ is the angle in radians.