Circles: Arcs, Angles, & Segments

Front

What is the definition of a tangent to a circle?

Back

A tangent to a circle is a line, ray, or segment in the plane of the circle that intersects the circle in exactly one point.

Front

What are segments with endpoints on a circle called?

Back

Segments with endpoints on a circle are called chords.

Front

What is the value of the central angle if the arc length is 75 degrees?

Back

75 degrees.

Front

What is the relationship between the radius and diameter of a circle?

Back

The diameter is twice the length of the radius.

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 value of the inscribed angle if the intercepted arc measures 54 degrees?

Back

The inscribed angle is half the measure of the intercepted arc, so it is 27 degrees.

Front

What is the definition of a secant line?

Back

A secant line is a line that intersects a circle at two points.

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 the measure of a minor arc?

Back

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

Front

What is the definition of a chord?

Back

A chord is a segment whose endpoints lie on the circle.