Inscribed angles

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, and the sides of the angle are the chords.

Front

What is the relationship between an inscribed angle and the arc it intercepts?

Back

The measure of an inscribed angle is half the measure of the intercepted arc.

Tags

CCSS.HSG.C.A.2

Front

What is a chord in a circle?

Back

A chord is a line segment with both endpoints on the circle.

Front

What is the measure of a full circle in degrees?

Back

360 degrees.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

What is a radius of a circle?

Back

A radius is a line segment from the center of the circle to any point on the circle.

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.

Tags

CCSS.7.G.B.4

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

If the measure of arc AB is 142 degrees, what is the measure of the inscribed angle that intercepts arc AB?

Back

The measure of the inscribed angle is 71 degrees, which is half of 142 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is a secant line?

Back

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

Front

What is the difference between a tangent and a secant?

Back

A tangent touches the circle at exactly one point, while a secant intersects the circle at two points.