Circle Angle Measures

What is the relationship between a central angle and the arc it intercepts in a circle?

• The relationship between a central angle and the arc it intercepts in a circle is that the measure of the central angle is equal to the measure of the arc.

• The central angle and the arc have no relationship

• The central angle is always less than the arc it intercepts

• The central angle is always greater than the arc it intercepts

In a circle, what is the measure of an inscribed angle that intercepts the same arc as a central angle?

• Twice the measure of the central angle

• Half the measure of the central angle

• Equal to the measure of the central angle

• One-fourth the measure of the central angle

If a central angle in a circle is 120 degrees, what is the measure of the arc it intercepts?

• 120 degrees

• 90 degrees

• 180 degrees

• 60 degrees

What is the relationship between the measure of an inscribed angle and the measure of the arc it intercepts in a circle?

• The measure of an inscribed angle is half the measure of the arc it intercepts.

• The measure of an inscribed angle is greater than the measure of the arc it intercepts.

• The measure of an inscribed angle is equal to the measure of the arc it intercepts.

• The measure of an inscribed angle is unrelated to the measure of the arc it intercepts.

In a circle, if the measure of an arc is 90 degrees, what is the measure of the central angle that intercepts it?

• 45 degrees

• 180 degrees

• 60 degrees

• 90 degrees

What is the formula to calculate the area of a sector in a circle?

• (θ/360) * π * r^2

• (θ/360) * 2π * r

• (θ/180) * π * r^2

• (θ/180) * 2π * r

If the radius of a circle is 5 cm and the central angle is 60 degrees, what is the area of the sector?

• 4.14 cm^2

• 6.28 cm^2

• 5.14 cm^2

• 3.14 cm^2

What is the formula to calculate the circumference of a circle?

• 2 * π * d

• π * r^2

• 2 * r

• 2 * π * r

If the radius of a circle is 8 cm, what is the circumference of the circle?

• 36.48 cm

• 25.12 cm

• 40.96 cm

• 50.24 cm

What is the relationship between the measure of an inscribed angle and the measure of the central angle that intercepts the same arc in a circle?

• The measure of an inscribed angle is equal to the measure of the central angle.

• The measure of an inscribed angle is double the measure of the central angle.

• The measure of an inscribed angle is unrelated to the measure of the central angle.

• The measure of an inscribed angle is half the measure of the central angle.