Graphing Circles
Arc Lengths
Area of a Sector
Area of a Segment
Circle Misc.
100

(x+1)2+(y-3)2=9


Give the center and radius of the above circle

C: (-1,3) r:(3)

100

If the Central Angle of a circle is 120o what is the corresponding arc length of the circle in degrees

Also 120o

100

What is the formula to find area of a Sector

(n/360) (pi r2)

100

Area of a Segment Process?

Find the area of the sector(slice) and subtract off the triangle. You may have to use trig or SRT properties to find height and base


100

How many points of intersection can a line and a circle have

0, 1 or 2

200

What is the formula for completing the square and what can you NEVER forget to do

(b/2)2


Add to the other side of the equation

200

What is the formula to find arc length

(n/360)(2pi r)

200

A circle has a radius of 12 and a central angle of 150 degrees find the answer in terms of pi

60 pi


200

What is the national sport of canada

lacrosse


200
How many degrees are their total in a circle


360

300

Find the intersection point(s) of the following circle and line


y-x=1 and x2+y2=25

(-4,-3) and (3,4)

Take 100 points from another team and give to any team except yourselves and the team you took from


300

Find the arc length given the central angle is 45 degrees and the radius is 4 units, in terms of pi


pi


300

Solve for the central angle if the area of the sector is 5pi, the radius is 5 and 

n=72 degrees

Steal 200 points from another team

300

Find the area of a sector if the central angle is 90o, the radius is 4 in terms of pi

4pi-8

300
What is the radius of a circle of the center is (5,2) and the circle contains the point (8,6)
r=5
400

Find the equation of the following circle and find the center and radius of the circle


x2+y2+5x+8y+8=0

(x+2.5)2+(y+4)2=14.25

C:(-2.5, ,4)

r:3.77

400

Given the arc has a length of 14 pi and the central angle is 105 degrees find the length of the arc in terms of pi

24

400

A sector of a circle has an area of 32π and a central angle of 128. What is the radius of the circle?  in simplest radical form

3sqrt(10)

400

A circle has a radius of 12 and a central angle of 120 degrees find the area of the segment in terms of pi

48pi-36root3

400

Determine the equation of the circle with center (1,−7) containing the point (−5,1)

(x-1)2+(y+7)2=100

500

Find the intersection point of the following

x2+(y-1)2=8

y=x+1

(2,3)

(-2,-1)

500

Given arc length is 18pi and radius is 12 find the central angle 

270

500

A sector of a circle has an area of 20pi and a radius of 15 cm. What is the measure of the central angle?  

32 degrees

500

The radius is 8 units and the central angle is 150 degrees find the area of the segment in terms of pi

80pi/3 - 16

500

How many intersection points could 2 circles have 

0, 1, 2 or infinitely many

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