Circles

Front

What is a circle?

Back

A circle is a set of points in a plane that are equidistant from a fixed point called the center.

Front

What is the formula for the circumference of a circle?

Back

The circumference (C) of a circle is given by the formula C = 2πr, where r is the radius.

Front

What is the formula for the area of a circle?

Back

The area (A) of a circle is given by the formula A = πr², where r is the radius.

Front

What is a minor arc?

Back

A minor arc is an arc that is smaller than a semicircle, measuring less than 180 degrees.

Front

What is a major arc?

Back

A major arc is an arc that is larger than a semicircle, measuring more than 180 degrees.

Front

What is the relationship between the central angle and the arc length?

Back

The length of an arc is directly proportional to the measure of its central angle.

Front

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

Back

The measure of a minor arc is equal to the measure of its central angle.

Front

What is the relationship between inscribed angles and intercepted arcs?

Back

An inscribed angle is half the measure of the intercepted arc.

Front

What is the formula to find the length of an arc?

Back

The length of an arc (L) can be calculated using the formula L = (θ/360) × 2πr, where θ is the central angle in degrees.

Front

What is the measure of a semicircle?

Back

A semicircle measures 180 degrees.