CIRCLE EQUATION
TRIPLE POINTS! Write the equation of a circle with the center (2,3) and radius of 5
(x-2)2+(y-3)2=25
What is the Arc length formula?
theta divide by 360 times 2 time pi times r
What is the Sector Area formula?
theta divide by 360 times pi times r squared
Identify the center and radius of the given equation
(x-4)2+(y-8)2=49
Center (4,8) radius=7
What is the length of an arc that has a central angle of 120 degrees and a radius of 9. Write answer in terms of pi.
27pi
What is the area of a sector that has a central angle of 90 degrees and a radius of 5. Write answer in terms of pi.
6.25pi
What variables in the circle equation represent the center of the circle?
(h,k)
DOUBLE POINTS Write the equation of a circle with the center at the origin and radius is square root of 3
x2+y2=3
What is the length of an arc that has a central angle of 60 degrees and a radius of 12? Write answer in terms of pi.
4pi
TRIPLE POINTS What is the area of a sector whose central angle is a right angle and has a diameter of 12. Write answer in terms of pi.
9pi
TRIPLE POINTS formula to find the area of a circle
pi time radius squared
Identify the center and radius of the given equation
x2+(y+8)2=36
center (0,-8) radius 6
DOUBLE POINTS If the length of an arc is 5pi and the central angle is 60 degrees, what is the radius?
15
What is the area of a sector that has a central angle of 45 degrees and a diameter is 40. Write answer in terms of pi.
50pi
If a central angle measures 45 degrees, what is the measure of the intercepted arc?
45 degrees
Write the equation of a circle with the center (-12,-4) and radius of 10
(x+12)2+(y+4)2=100
What is the length of an arc that has a central angle of 30 degrees and a diameter of 24? Write answer in terms of pi.
2pi
DOUBLE POINTS If the area of a sector is 25.6 pi and the radius is 16, what is the central angle?
36 degrees
If a major arc of a circle is 260 degrees, what is the measure of the minor arc?
100 degrees