angles in circles

Front

What is a central angle in a circle?

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides are radii that extend to the circumference.

Tags

CCSS.HSG.C.A.2

Front

What is an inscribed angle?

Back

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. The vertex of the angle is on the circle.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

What is the relationship between a central angle and an inscribed angle that subtend the same arc?

Back

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

Tags

CCSS.HSG.C.A.2

Front

Write the general equation of a circle with center (h, k) and radius r.

Back

(x - h)² + (y - k)² = r².

Tags

CCSS.HSG.GPE.A.1

Front

If the radius of a circle is 5, what is the equation of the circle centered at the origin?

Back

x² + y² = 25.

Tags

CCSS.HSG.GPE.A.1

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 half the difference of the measures of the intercepted arcs.

Tags

CCSS.HSG.C.A.2

Front

What is the angle formed by a tangent and a chord through the point of contact?

Back

The angle is equal to half the measure of the intercepted arc.

Tags

CCSS.HSG.C.A.2

Front

If two chords intersect inside a circle, how do you find the measure of the angles formed?

Back

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

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between the angles formed by two intersecting chords?

Back

The product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.

Tags

CCSS.HSG.C.A.2

Front

What is a diameter of a circle?

Back

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

Tags

CCSS.HSG.C.A.2