Circles
What is the center and radius of this circle:
(x-8)2+(y-2)2 = 16
Center: (8,2)
Radius: 4
y=8x+4
8
Write the rule for the following transformation:
Translate down 8 and to the right 4
(x,y) -> (x+4, y-8)
Find the arc length of a circle with the following:
Radius: 6
Central Angle: 90
MUST BE IN TERMS OF PI
3pi
What is Mr. Harker's favorite candy?
Extra dark chocolate
What is the center and radius of this circle:
(x+9)2+(y+1)2 = 400
Radius: 20
What is the slope of a line perpendicular to:
y= 1/2x - 3
-2
Write the transformation rule for the following:
Rotate 180 degrees
(x,y) -> (-x, -y)
Find the sector of a circle with the following:
Radius: 4
Central Angle: 60
MUST BE IN TERMS OF PI
(8/3)pi
Find the equation for a parabola with the following characteristics:
Directrix: y=-4
Focus: (0,4)
(x-0)2+(y-4)2 = (y+4)2
What is the center and radius of this circle:
x2+y2+8x-6y+21=0
(-4,3) and 2
What is the equation for the line that goes through (-3,1) and is perpendicular to y = -3x + 8
WRITE ANSWER IN SLOPE INTERCEPT FORM
y = 1/3x + 2
Find the area and perimeter of the triangle with the following coordinates:
(0,4)
(0,0)
(3,0)
Area: 12
Perimeter: 12
Find the area of the sector of a circle with a central angle of 160 degrees and an equation of (x-4)2+(y+3)2=49
MUST BE IN TERMS OF PI
21.8pi
What is unique about Oregon's flag?
Double sided
For the given endpoints of a diameter, find the center of the circle and the length of the radius of the circle:
(-2, -3) and (4, -5)
Center: (1,-4)
Radius: 3.16
Find the equation of a perpendicular line that goes through point (2,2). The original line goes through (1,6) and (8,23.5)
(y-2) = -2/5(x-2)
Find the area and perimeter of the triangle with the following coordinates:
(-1,-2)
(-3,0)
(-3,-3)
Area: 2
Perimeter: 9.66
Find the area of a circle inscribed in a square whose diagonal is 8 feet
LEAVE IN TERMS OF PI
8pi
The equation for a circle is (x-5)2+(y+7)2=100. If the circle is dilated by a scale factor of k=2.5, find the new equation
(x-5)2+(y+7)2=625
What is the center and radius of this circle:
9x2+54x+9y2-18y+64 = 0
Center: (-3,1)
Radius: 1.7
Find the equation of the line tangent (perpendicular) to the circle (x-5)2+ (y + 2)2 = 25 at point (8,-4)
y = 1.5x - 16
A triangle has vertices (0,2), (8,2), and (4,6). Show the triangle is isosceles and find its area
Area: 16
BC and AC are 4root(2)
Find the area and perimeter of the following image:
Area: 353.77
Perimeter: 91.83
Find the equation of the altitude of the triangle through point B. That is, write an equation perpendicular to AC, through point B.
See image
y+2 = -.8(x-2)