Circle Geometry Test

If a central angle in a circle measures 60 degrees, what is the measure of its intercepted arc?

• 30 degrees

• 90 degrees

• 60 degrees

• 120 degrees

Tags

CCSS.HSG.C.A.2

In a circle, if an inscribed angle measures 45 degrees, what is the measure of its intercepted arc?

• 60 degrees

• 180 degrees

• 90 degrees

• 30 degrees

Tags

CCSS.HSG.C.A.2

What is the relationship between a circumscribed angle and its intercepted arc in a circle?

• They are parallel

• They are equal

• They are supplementary

• They are perpendicular

Tags

CCSS.HSG.C.A.2

How do you calculate the length of an arc in a circle?

• Use the formula: (arc angle/360) x (π x diameter)

• Use the formula: (arc angle/360) x (2 x π x radius)

• Use the formula: (arc angle/180) x (2 x π x diameter)

• Use the formula: (arc angle/180) x (π x radius)

Tags

CCSS.HSG.C.B.5

What is a cyclic quadrilateral in circle geometry?

• A quadrilateral with one pair of parallel sides

• A quadrilateral with one right angle

• A quadrilateral whose vertices all lie on the circumference of a single circle.

• A quadrilateral with all sides of equal length

What is the standard form of the equation of a circle?

• (x - h)^2 - (y - k)^2 = r^2

• (x + h)^2 + (y + k)^2 = r^2

• (x - h)^2 + (y - k)^2 = r^2

• (x + h)^2 - (y + k)^2 = r^2

Tags

CCSS.HSG.GPE.A.1

What is the general form of the equation of a circle?

• (x - h)^2 + (y + k)^2 = r^2

• (x - h)^2 - (y - k)^2 = r^2

• (x - h)^2 + (y - k)^2 = r^2

• (x + h)^2 + (y - k)^2 = r^2

Tags

CCSS.HSG.GPE.A.1

If the equation of a circle is (x-3)^2 + (y+4)^2 = 25, what is the center and radius of the circle?

• The center of the circle is (3, 4) and the radius is 25.

• The center of the circle is (0, 0) and the radius is 7.

• The center of the circle is (3, -4) and the radius is 5.

• The center of the circle is (5, -3) and the radius is 4.

Tags

CCSS.HSG.GPE.A.1

What is the measure of an angle in a semicircle?

• 45 degrees

• 120 degrees

• 90 degrees

• 180 degrees

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

What is the value of x with a reason?

• The angle at the center is equal to twice the angle at the circumference.

• The angle at the center is equal to the angle at the circumference.

Tags

CCSS.HSG.C.A.2