This is a segment that has an endpoint at the center of the circle and the other on the circle.
Radius
In terms of pi... What is the circumference of a circle whose radius is 8?
16 pi
If a central angle is 85 degrees, what is the measure of the intercepted arc PQ ?
85 degrees
In the equation of the circle below, what is the radius?
x2 + y2 = 81
r = 9
Two Tangents intersect outside the circle. Solve for x.
x = 3
This is the location at which the tangent line intersects the circle.
Point of Tangency
In terms of pi... What is the area of a circle whose radius is 9?
81 pi
Inscribed angle is HALF the arc measure.
25 degrees
In the equation of the circle, what is the center point?
(x + 5)2 + (y - 7)2 = 13
(-5, 7)
Solve for x
x = 3
You use this point to name a circle.
Center
In terms of pi... What is the area of a circle whose diameter is 20?
100 pi
In an inscribed quadrilateral, opposite angles are supplementary
x = 68
y = 99
Write an equation: Center: (4,5) Radius = 3
(x - 4)2 + (y - 5)2 = 9
Do the following sides form a right triangle?
13 in, 15 in, 20 in
No... if you type it into your calculator it will come out as false!
This chord creates a semicircle.
Diameter
What is the length of an arc in a circle with a central angle of 60 degrees and a radius of 9 cm?
3 pi
or
9.42 cm
35
Write an equation: Center (-3, 8) Radius = 13
(x + 3)2 + (y - 8)2 = 169
BC is a tangent in circle A. Find the length of DC.
DC = 4.43 inches
This is a region of a circle enclosed by two radii and an arc. It is like a slice of the circle.
Sector
What is the area of the sector with a central angle of 45 degrees and a radius of 12 inches?
18 pi
or
56.5 inches
What is the measure of arc RQ?
54 degrees
Write the equation of the circle.
(x + 2)2 + (y - 2)2 = 9
Calculate the LENGTH of the orange arc. You must say your answer in correct units.
About 5.23 yd