Inscribed angles and central 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 a central angle?

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 circle.

Tags

CCSS.HSG.C.A.2

Front

How do you calculate the area of a circle?

Back

The area of a circle can be calculated using the formula A = πr², where r is the radius of the circle.

Tags

CCSS.7.G.B.4

Front

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

Back

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

Tags

CCSS.HSG.C.A.2

Front

If the radius of a circle is 3 cm, what is the area?

Back

The area is 28.26 cm² (using A = π(3)²).

Tags

CCSS.7.G.B.4

Front

What is the formula for the circumference of a circle?

Back

The circumference of a circle is calculated using the formula C = 2πr, where r is the radius.

Tags

CCSS.7.G.B.4

Front

What is the diameter of a circle?

Back

The diameter is twice the radius of the circle.

Tags

CCSS.7.G.B.4

Front

If the diameter of a circle is 16 cm, what is the radius?

Back

The radius is 8 cm (since radius = diameter/2).

Tags

CCSS.7.G.B.4

Front

What is the measure of an arc in a circle?

Back

The measure of an arc is the degree measure of the angle formed by two radii that connect the endpoints of the arc.

Front

How do you find the measure of an inscribed angle?

Back

To find the measure of an inscribed angle, take half the measure of the arc that it subtends.

Tags

CCSS.HSG.C.A.2