MATH 3 EOC REVIEW Circle Theorems / Modeling with Geometry

Front

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

Back

The arc length of a circle is directly proportional to the central angle that subtends it.

Front

What is the measure of a semicircle?

Back

A semicircle measures 180 degrees.

Front

What is the inscribed angle theorem?

Back

The inscribed angle theorem states that an angle inscribed in a circle is half the measure of the intercepted arc.

Front

How do you find the measure of an angle formed by two chords intersecting inside a circle?

Back

The measure of the angle is equal to half the sum of the measures of the arcs intercepted by the angle and its vertical 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

What is the definition of a tangent to a circle?

Back

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

Front

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

Back

The radius drawn to the point of tangency is perpendicular to the tangent line.

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.