In circle Z, the m∠ABC = 57°. Find the measure of minor arc AC.
2 * 57 = 114°
15
Given: Circle S and the measure of ∠RST = 88°. What is the measure of ∠RUT?
88/2=44°
15
The circumference of circle J is 72π. What is the length of minor arc NK? Leave your answer in the form #*π.
(145/360)*72π = 29π
15
A section of a circular sign is shown. What is the area of this section of the sign? Round your answer to the nearest tenth.
(92/360)(π(12)^2)=115.6
15
What is the equation of the circle shown on the graph?
(x+1)^2 + (y-2)^2 = 25
15
A circle has a diameter with endpoints (−2,−3) and (6, -3). What is the equation of the circle?
(x-2)^2 + (y+3)^2 = 16
15
The equation of a circle is given. Determine the center of the circle and the length of the diameter.
Center: (1, -5) Diameter: 7*2=14
20
Jack started writing the equation of circle O as follows. He knows that a point with coordinates (2, 10) lies on circle O. What number should Jack place in the blank to finish writing the equation?
52
15
Circle G has a center at (7, 5) and a diameter of 12 units. Which point lies on circle G?
b) (13, 5)
15
Which one of the following sets of numbers could represent the three sides of an acute triangle?
d) 8^2 + 13^2 > 20^2
15
What is the sum of the exterior angles of a convex polygon with 45 sides?
360 (EXTERIOR ANGLES ALWAYS SUM TO 360)
15
Determine the proportional relationship that would correctly solve for the arc length of the shaded sector x.
b
15
If the area of a sector of a circle is 29π m^2 and the measure of its intercepted arc is 76°, what is the length of the radius of the circle?
T) : 29π = (76/360)*π*r^2 r = 11.72
15
A student is using the Pythagorean theorem to derive the equation of a circle with a center (-2, 7) and a radius of 9. What is the equation of the circle?
(x+2)^2 + (y-7)^2 = 81
15
A circle has a diameter with endpoints (5,−6) and (6, -7). What is the center of the circle?
midpoint((5, -6),(6, -7)) = (5.5, -6.5)
15
In rhombus ABCD, CA = 6 and BD = 8. What is the length of the sides of the rhombus?