Advanced Circle Theorems

What is the standard form equation of a circle with center (2, -5) and radius 3?

• (x-2)² + (y-5)² = 9

• (x-2)² + (y-5)² = 9

• (x+2)² + (y-5)² = 9

• (x-2)² + (y+5)² = 9

Tags

CCSS.HSG.GPE.A.1

A tangent is always (a)   to the radius at the point of tangency.

• parallel

• equal

• perpendicular

• adjacent

Tags

CCSS.HSG.C.A.2

CCSS.HSG.C.A.4

What is the radius of a circle given by (x+1)² + (y-2)² = 49?

• 7

• 14

• 49

• √49

Tags

CCSS.HSG.GPE.A.1

Line AB is tangent to a circle at B. Radius OB = 9 and OA = 15. What is AB?

• 6

• 12

• 18

• 20

Tags

CCSS.HSG.C.A.2

What's true about an inscribed angle and its intercepted arc?

• They're equal

• The arc is half the angle

• The angle is half the arc

• The angle is twice the arc

Tags

CCSS.HSG.C.A.2

Two chords intersect. One is split into 4 and 6. The other into x and 5. Solve for x.

• x = 4.5

• x = 4.8

• x = 5

• x = 6

Tags

CCSS.HSG.C.A.2

What's the formula to convert 60° to radians?

Tags

CCSS.HSF.TF.A.1

Convert radians to degrees.

• 150°

• 90°

• 180°

• 120°

Tags

CCSS.HSF.TF.A.1

In the unit circle, what does the point (x, y) represent?

• tan and sin

• cos and sin

• radius and angle

• sine and arc

Tags

CCSS.HSF.TF.A.2

What is cos(150°) using a reference angle?

Tags

CCSS.HSF.TF.A.2