Circles, arcs, angles

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.

Tags

CCSS.7.G.B.4

Front

What is the relationship between the angles in an inscribed quadrilateral?

Back

The opposite angles of an inscribed quadrilateral are supplementary, meaning they add up to 180 degrees.

Tags

CCSS.HSG.C.A.3

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.

Tags

CCSS.HSG.C.A.2

Front

How do you find the measure of an inscribed angle?

Back

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

Tags

CCSS.HSG.C.A.2

Front

What is the intercepted arc in relation to an inscribed angle?

Back

The intercepted arc is the arc that lies in the interior of the inscribed angle and has endpoints on the angle.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of the central angle in relation to the intercepted arc?

Back

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

Tags

CCSS.HSG.C.A.2

Front

How do you calculate the measure of an angle formed by two tangents to a circle?

Back

The measure of the angle formed by two tangents is equal to half the difference of the measures of the intercepted arcs.

Tags

CCSS.HSG.C.A.2

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.

Tags

CCSS.7.G.B.4

Front

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

Back

The diameter of a circle is twice the length of the radius (d = 2r).

Tags

CCSS.7.G.B.4