Equations of Circles
Where is the center of the circle located at in the equation x2 + (y - 4)2 = 16?
(0, 4)
Would the point (1, 2) be located on the circle with the equation x2 + y2 = 5?
Yes!
Find the Arc Length of a Circle if the radius is 7in and the central angle (theta) is 60 degrees. Round to the nearest tenth.
7.3 in2
Find the area of a sector with a radius of 8 and a central angle of 55 degrees. Round to the nearest hundredth.
30.72
What is the measure of the radius if the equation of the circle is x2 + y2 = 9?
Radius = 3
Would the point (3, 1) be located on the circle with the equation (x - 3)2 + (y - 1)2 = 16?
NO!
Find the Arc Length of a Circle if the diameter is 12m and the central angle (theta) is 75 degrees. Round to the nearest tenth.
7.9m
Find the area of a sector with a diameter of 22 and a central angle of 175 degrees. Round to the nearest hundredth.
184.79
What is the equation of a circle if the center is located at (3, -4) and the radius is 6?
(x - 3)2 + (y + 4)2 = 36
Write the equation of a circle where the center is at (0, 0) at a Point on the Circle is at (2, 3).
x2 + y2 = 13
I will show you a graph of a circle and you will be expected to find the arc length rounded to the nearest hundredth.
7.33
Refer to the picture to solve the question.
9.16
A 12 inch is cut into 10 slices. How many square inches is one slice?
11.31
I will shortly show you an image of a circle on a graph, you will be responsible for writing the equation for it.
(x - 2)2 + (y + 1)2 = 16
I will show you a graph of a circle and you will be expected to write the equation of the circle.
(x - 4)2 + (y + 3)2 = 13
I will show you a graph of a circle and you will be expected to find the arc length rounded to the nearest hundredth.
24.02
A windshield wiper blade is 18 in long. What is the area that is covers if it travels 122 degrees. Round to the nearest whole number.
345
You eat a slice of pizza that has an area of 34 square inches. The what would the angle of the slice be if it was a 14 inch pizza? Round to the nearest degree
80 degrees
Write the equation of a circle when the center is located 3 units right and 5 units down from the origin & the diameter is 5 units. If you get a decimal do not round.
( x - 3)2 + (y + 5)2 = 6.25
I will show you a graph of a circle and you will be expected to write the equation of the circle.
(x - 5)2 + (y + 4)2 = 17
This is the first year Janis is playing softball. She has been practicing her batting. On her last swing the bat made an arc with a radius of 48 inches and swept through 255° of rotation. Assuming the arc is circular, what is the distance the tip of the bat travels to the nearest FOOT?
18 feet (you should have gotten about 213.62 in)