Review Circles Vocab, Angles, Segments, Chords, and Tangents

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 equation of a circle?

Back

The equation of a circle with center (h, k) and radius r is (x - h)² + (y - k)² = r².

Tags

CCSS.HSG.GPE.A.1

Front

What is a chord in a circle?

Back

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

Front

What is the difference between a chord and a diameter?

Back

A diameter is a special type of chord that passes through the center of the circle and is the longest chord.

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 radius and a tangent?

Back

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

Front

How do you find the length of a chord given the radius and the distance from the center to the chord?

Back

Use the formula: length of chord = 2 * √(r² - d²), where r is the radius and d is the distance from the center to the chord.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of an angle formed by two tangents drawn from a point outside the circle?

Back

The measure of the angle is equal to half the difference of the measures of the intercepted arcs.

Tags

CCSS.HSG.C.A.2

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Tags

CCSS.8.G.A.5

Front

If two angles are supplementary, what is their relationship?

Back

Two angles are supplementary if the sum of their measures is 180 degrees.

Tags

CCSS.7.G.B.5