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Equations of a Circle
Length of an Arc/Area of a Sector
Area of a Circle
Complete the Square
Word Problems
100
The equation of a circle.
What is (x-h)^2 + (y-k)^2 = r^2; center = (h, k)
100
Area of a sector: If the central angle of the circle is 60 degrees and the radius is 10 inches, what is the area of the sector?
What is 16.7(pi)
100
What is the area of a circle with radius 12 mm?
What is 452.4 mm
100
Find the center of a circle whose equation is x^2 + y^2 -2x +6y + 3 = 0
What is (1, -3)
100
A sandwich shop will deliver to anyone within an 80 mile radius of the store's location. If the store is represented graphically, with the store located at the coordinates of (0,0), what is the equation that represents the delivery area?
What is x^2 + y^2 = 1600
200
Find the center and radius of the circle whose equation is (x+3)^2 + (y-2)^2 = 16
What is center = (-3, 2) and r = 4.
200
Calculate the length of the arc if the central angle = 80 degrees and the radius is 12 cm.
What is 5.3(pi)
200
What the area of a circle with diameter 18 cm?
What is 254.5 cm
200
What is the center of the circle whose equation is x^2 + y^2 + 6x - 8y - 11 = 0?
What is (-3, 4).
200
Mr. Wilson wants to put a board of paving blocks around the outside of his garden. The paving blocks are each 1 foot square if his garden is 20 ft by 16 ft, how many paving blocks around the outside will he need?
What is 72
300
What is the center and radius of a circle whose equation is (x-4)^2 + (y+3)^2 = 64?
What is c = (4, -3) and r = 8
300
Calculate the length of the arc if the central angle = 60 degrees and the radius is 7.3 cm.
What is 2.4(pi).
300
What is the equation for the area of a circle?
What is A = (pi)r^2
300
What is the center of the circle whose equation is x^2 + y^2 - 4x +10y - 7 = 0?
What is (2, -5).
300
You stop at a local pizza shop where each pizza is cut into 8 slices. Would your hunger be better satisfied with one slice from a 16 inch pizza or two slices from the 12 inch pizza?
What is 2 slices
400
What is the radius of a circle whose equation is (x-7)^2 + (y+9)^2 = 121
What is r = 11.
400
Calculate the length of the arc if the central angle = 270 degrees and the radius is 80 mm.
What is 120(pi).
400
What is the area of a circle if its diameter is 59.8 km?
What is 894.01(pi) km
400
What is the center and the radius of the circle whose equation is 16 + x^2 + y^2 - 8x - 6y = 0?
What is c = (4,3) r = 3
500
What is the center of a circle whose equation is (y-4)^2 + (x+3)^2 = 49
What is (-3, 4)
500
Calculate the area of the sector if the central angle = 45 degrees and the radius is 11 cm.
What is 15.125(pi)
500
What is the area of a circle if the circumference is 189 cm?
What is 2842.6 cm
500
What is the center and radius of the circle whose equation is x^2 + y^2 - 4x + 10y - 7 = 0?
What is (2, -5) and r = 6
500
If Johnny has 13 pancakes on his roof, and the aliens that are invading are purple, what is the mass of the sun?
What is 1.989 x 10^30 kg