Circles Mixed Practice L

Front

What is an inscribed angle in a circle?

Back

An inscribed angle is formed by two chords in a circle which have a common endpoint. The vertex of the angle is on the circle, and the sides of the angle are the chords.

Front

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

Back

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

Front

What is a chord in a circle?

Back

A chord is a line segment with both endpoints on the circle.

Front

How do you find the length of a chord given the radius and the angle subtended at the center?

Back

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

Front

What is a tangent to a circle?

Back

A tangent is a line that touches the circle at exactly one point.

Front

What is the relationship between a tangent and a radius at the point of tangency?

Back

A tangent to a circle is perpendicular to the radius drawn to the point of tangency.

Front

How do you calculate the perimeter of a circle?

Back

The perimeter (circumference) of a circle is calculated using the formula: C = 2πr, where r is the radius.

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 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 measure of a central angle given the arc length?

Back

The measure of a central angle in radians can be found using the formula: θ = s/r, where s is the arc length and r is the radius.