Radius & Diameter
Circumference and Area
Tangent Segments
Arcs and Inscribed Angled
The equation of a circle
Definitions
100
The diameter is 10 inches. Find the radius.
5 inches.
100
A circle has a diameter of 12.5 inches. What is the circumference?
12.5pi
100
Is line segment AB tangent to circle C?
No.
9^2+15^2=18^2
306=324
100
Solve for the measure of arc QT.
100 degrees
100
What does h, k mean in the equation?
h and k represents the coordinates of the center of the circle
100
What is a radius?
A line segment connecting the center of a circle/sphere to any point on its boundary.
200
The diameter is 25 feet. Find the radius.
12.5 feet.
200
A circle has a radius of 12.5 inches. What is the circumference.
25pi
200
AB and AD are Tangent to circle C. Solve for x.
x = 9
200
Solve for the measure of angle RTS.
24 degrees
200
Write the equation of a circle with center (4,5) and radius 6.
What is
(x-4)^2+(y-5)^2=6^2
200
What is a chord?
A straight line segment that connects two points on the circumference of a circle
300
The circumference of the circle is
18 pi
Find the radius.
9 inches
300
A circle has a radius of 50 miles. What is the area of the circle?
2500pi
300
How would you set up the equation to verify that AB is tangent to circle C?
40^2+48^2=60^2
300
Solve for the measure of arc GF.
GF=130
300
Write the equation of a circle with the center (4,-5) and radius 3.
What is
(x-4)^2+(y+5)^2=3^2
300
What is a central angle?
An angle formed at the center of a circle by two radii
400
The area of this circle is
25pi
Find the radius.
5 inches.
400
A circle has a diameter of 16. Find the area in terms of pi.
64 pi
400
AB and AD are tangent to circle C. Solve for x.
x = 3
400
Solve for the measure of Z.
100 degrees?
400
The center of a circle is (-1,3) and a point on the circle is (-5,6). Find the radius of the circle.
r=5
400
What is a tangent?
A line, outside the circle, touching it at only one point
500
A circle has an area of
256pi cm2.
Find the diameter.
32cm
500
A circle has a circumference of
6pi
What is the area?
9 pi
500
AB is tangent to circle C. Solve for the value of r. Round to two decimal places.
r = 10
500
Solve for the value of x.
x=10
500
The end points of the diameter of a circle are (0,-1) and (-5,-6). Find the center of the circle.
What is
(-2.5,-3.5)
500
What is a secant?
A line that intersects the circle at two points