Make up Quiz on Circles and Trig

Which is the correct equation of a circle centered at (2, -4) and has a radius of 4?

• (x - 2)² + (y + 4)² = 4

• (x - 2)² + (y + 4)² = 16

• (x + 2)² + (y - 4)² = 4

• (x + 2)² + (y - 4)² = 16

Tags

CCSS.HSG.GPE.A.1

If x² + 4x + y² - 6y - 12 = 0 is the equation of a circle, the length of the radius is

• 25

• 16

• 5

• 4

Tags

CCSS.HSG.GPE.A.1

An equation of circle O is x² + y² + 4x - 8y = -16. The statement that best describes circle O is the

(Hint: Set to Standard form and then try sketching it on graph paper!)

• center is (2, -4) and is tangent to the x-axis

• center is (2, -4) and is tangent to the y-axis

• center is (-2, 4) and is tangent to the x-axis

• center is (-2, 4) and is tangent to the y-axis

Tags

CCSS.HSG.GPE.A.1

In the diagram below of Circle O, diameter AOB and chord CB are drawn, and m∠B = 28°. What is m∠BC?

• 56°

• 124°

• 152°

• 166°

Tags

CCSS.HSG.C.A.2

In the diagram below of circle O, chords JT and ER intersect at M. If EM = 8 and RM = 15, the lengths of JM and TM could be

• 12 and 9.5

• 14 and 8.5

• 16 and 7.5

• 18 and 6.5

Tags

CCSS.HSG.C.A.2

Solve for x.

• 6
• 8
• 10
• 12

Tags

CCSS.HSG.C.A.2

In the circle below, secants TSR and TMH intersect at T, SR = 5, HM = 9, TM = 3, and TS = x. Which equation could be used to find the value of x?

• x(x + 5) = 36

• x(x + 5) = 27

• 3x = 45

• 5x = 27

Tags

CCSS.HSG.C.A.2

In the diagram below, quadrilateral ABCD is inscribed in circle P.

What is the measure of <D?

• 70°

• 72°

• 108°

• 110°

Tags

CCSS.HSG.C.A.2

In the diagram shown below, PA is tangent to circle T at A, and secant PBC is drawn where point B is on circle T. If PB = 3 and BC = 15, what is the length of PA?

• 3√5

• 3√6

• 3

• 9

Tags

CCSS.HSG.C.A.2

What is the area of a sector of a circle with a radius of 8 inches and formed by a central angle that measures 60°?

• 8π/3

• 16π/3

• 32π/3

• 64π/3

Tags

CCSS.HSG.C.B.5