Centers & Point
Radii
Arc Length
Sector, Cyl, Cone
Segment Area
100
What is the center of
(x-2)2 + (y+5)2 = 16?
Does the point (2, 3) lie on the circle?
Center at (2, -5)
(2,3) does NOT lie on the circle (plug it in)
100
What is the radius of
(x-2)2 + (y+5)2 = 16?
Radius = 4
100
Find the arc length in radians if the central angle is 30 degrees and radius is 5.
s = theta * r 30pi/180 = pi/6 and so
s = 5 pi /6
100
Find the volume of a cylinder that has radius of 5 and height of 4 in terms of pi
100 pi
100
Sector AB has area 50. Triangle AOB has an area of 40. What is the area of the segment left over?
50-40 = 10 square units
200
What is the center of
(x+4)2 + (y+5)2 = 64?
Does the point (-4, 3) lie on the circle?
Center at (-4, -5)
Yes, (-4, 3) lies on the circle (plug it in)
200
What is the radius of
(x-2)2 + (y+5)2 = 25?
R = 5
200
s = theta * r
s = 4pi/3 = (4/3)pi
200
Find the volume of a cone with radius of 6 and height of 4
48pi
200
Sector BD has area 6 pi. Triangle BOD has an area of 40. What is the area of the segment?
A = 6pi - 40
300
What is the center of
(x+3)2 + (y-4)2 = 49?
Does the point (2, 3) lie on the circle?
Center at (-3, 4)
No, (2,3) does NOT lie on the circle
300
What is the radius of
(x-2)2 + (y+5)2 = 64?
R = 8
300
Find the arc length if theta = 45 degrees and
radius = 8
s = theta*r = (pi/4)*8 = 2pi
300
A cylinder has a volume of 90 cubic feet. What is the volume of a cone with equal height and a congruent base?
90/3 = 30 cubic feet
300
Sector JK has an area of 5 pi. Triangle JOK has an area of 8. Find the area of the segment.
A = 5pi - 8
400
What is the center of
(x-10)2 + (y+9)2 = 34?
Does the point (5, -6) lie on the circle?
Center at (10, -9)
YES, (5, -6) lies on the circle (plug it in for x and y)
400
What is the radius of
(x-2)2 + (y+5)2 = 81?
R = 9
400
Find the arc length if theta = 90 degrees and
radius = 6
s = theta*r = (pi/2)*6 = 3pi
400
Find the area of sector AB if radius = 3
area = n/360*pi*r2
=(3/2)pi or 3pi/2
400
Find the area of the segment if the area of sector AB = 9 pi. 
A segment = 9pi - 18
500
What is the center of
x2 + y2 = 20?
Does the point (2, 4) lie on the circle?
Center at (0,0)
YES, (2, 4) lies on the circle (plug it in)
500
What is the radius of
(x-3)2 + (y+4)2 = 36?
R = 6
500
Find the minor arc if theta = pi/4 radians and r = 4
s = theta*r = pi
500
Find the area of sector AB if the central angle is 40 degrees and the radius is 6
4pi
500
Find the volume of a segment of a cylinder if h =4.
V = area of base *h
=(9pi-18)*4