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
Circle G has a center at (7, 5) and a diameter of 12 units. Which point lies on circle G?
b) (13, 5)
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
In circle Z, the m∠ABC = 57°. Find the measure of minor arc AC.
2 * 57 = 114°
Which one of the following sets of numbers could represent the three sides of an acute triangle?
d) 8^2 + 13^2 > 20^2
Secants AR and LR intersect at point R. The measure of ∠ARL is 27°. What is the value of x?
27=0.5(99-x)... x = 45
A circle is shown with two secants that intersect at point R. Find the value of x, the length of AP.
(x+6)*6=(10+8)*8... x=18
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
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
What is the sum of the exterior angles of a convex polygon with 45 sides?
360 (EXTERIOR ANGLES ALWAYS SUM TO 360)
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
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
LO and SO are tangent to circle T. Find the length of LT.
6x-5=15x-32; x=3; LT=3+7=10
Which formula would be used to calculate any missing value for the given segments?
mx=yw *m & x must be on same side and same for w & y*
What is the equation of the circle shown on the graph?
(x+1)^2 + (y-2)^2 = 25
Given: Circle Z with chords QL and ES. Using the information labeled on the circle, find the length of QL.
15*18=9(x+21); x=9; QL = 9+9+21 = 39
Determine the proportional relationship that would correctly solve for the arc length of the shaded sector x.
b
Given: Circle S and the measure of ∠RST = 88°. What is the measure of ∠RUT?
88/2=44°
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
In rhombus ABCD, CA = 6 and BD = 8. What is the length of the sides of the rhombus?
3^2 + 4^2 = c^2; sides (c) = 5
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)
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