Circle A in the xy-plane has the equation \$(x+5)^2 + (y-5)^2 =4\$. Circle B has the same center as circle A. The radius of circle B is two times the radius of circle A. The equation defining circle B in the xy-plane is \$(x+5)^2 + (y-5)^2 =k\$, where k is a constant. What is the value of k?

A) 10

B) 16

C) 18

D) 23

In the xy-coordinate plane, the length of a line segment between point (6,18) and point (a,9) is 15. What is a possible value of a?

A) 18 and -8

B) 18 and 6

C)18 and -6

D) 6 and -18

What is the area of a circle whose equation is \$x^2−6x+y^2+4y=3\$?

A) \$66\pi\$

B) \$61\pi\$

C) \$6\pi\$

D) \$16\pi\$

Triangle ABC is inscribed in the circle above. Arc \$\overarc(AB)\$ is congruent to arc \$\overarc(BC)\$. What is the measure of \$\angle B\$?

A)\$120°\$

B) \$70°\$

C) \$100°\$

D) \$140°\$

A circle in the xy-plane has its center at (-5, 2) and has a radius of 9. An equation of this circle is \$x^2 + y^2 + ax + by + c = 0\$, where a, b, and c are the constants. What is the value of c?

A) -52

B) 50

C) 52

D) -25

Which of the following equations represents a circle in the xy-plane that intersects the y-axis at exactly one point?

A) \$(x - 4)^2 + (y - 9)^2 = 16\$

B) \$x^2 + (y - 8)^2 = 16\$

C) \$x^2 + (y - 8)^2 = 8\$

D) \$x^2 + (y - 16)^2 = 8\$

A circle has a center O and points A and B lie on the circle. The measure of arc AB is 45 °, and the length of arc AB is 3 inches. What is the circumference, in inches, of the circle?

A) 24

B) 3

C) 6

D) 9

In the xy-plane, the graph is a \$2"x"^2 − 6"x" + 2"y"^2 + 2"y" = 45\$ circle. What is the radius of the circle?

A) 10

B) 5

C) \$\sqrt 5\$

D) \$5\sqrt10\$

In the figure above, 0 is the center of the circle and OM is a radius. If the measure of angle OMN is 30°, then the length of minor arc MN is what fraction of the circumference of circle 0?

A) \$5/16\$

B) \$18/5\$

C) \$5/18\$

D) \$6/18\$

The area of the shaded region is r. What is the radius of circle 0?

A) \$sqrt10\$

B) \$sqrt8\$

C) \$sqrt7\$

D) \$sqrt6\$