Mid Circle Unit Review

Front

What is the measure of an angle formed by two radii in a circle?

Back

The measure of an angle formed by two radii in a circle is equal to the measure of the arc that it intercepts.

Front

What is the formula for the length of an arc in a circle?

Back

The length of an arc can be calculated using the formula: \( L = \frac{\theta}{360} \times 2\pi r \), where \( \theta \) is the central angle in degrees and \( r \) is the radius.

Front

What is the relationship between the central angle and the inscribed angle in a circle?

Back

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

Front

If the diameter of a circle is known, how can you find the radius?

Back

The radius is half of the diameter. \( r = \frac{d}{2} \)

Front

What is the measure of an angle in a semicircle?

Back

An angle inscribed in a semicircle is a right angle (90 degrees).

Front

How do you find the measure of an arc given the central angle?

Back

The measure of the arc is equal to the measure of the central angle.

Front

What is the formula for the area of a sector of a circle?

Back

The area of a sector can be calculated using the formula: \( A = \frac{\theta}{360} \times \pi r^2 \), where \( \theta \) is the central angle in degrees and \( r \) is the radius.

Front

What is the relationship between the measures of angles formed by intersecting chords?

Back

The measure of an angle formed by two intersecting chords is equal to half the sum of the measures of the arcs intercepted by the angle.

Front

What is the measure of an angle formed by a tangent and a chord?

Back

The measure of the angle formed by a tangent and a chord through the point of contact is equal to half the measure of the intercepted arc.

Front

How do you calculate the circumference of a circle?

Back

The circumference can be calculated using the formula: \( C = 2\pi r \), where \( r \) is the radius.