Arc Lengths & Measures
Inscribed Angles & Sectors
Circles w/Center at Origin
General Circles
Random
100
Name the major arc for ∠1
Arc ACB
100
If m∠BOC=78°, find m∠BAC.
39 degrees
100
What is the equation of a circle with the center at the origin and a radius of 2?
x2 + y2 = 4
or
x2 + y2 = 16
100
Given the equation of a circle, (x-2)2 + (y-6)2 = 100, state the radius.
10
100
The slope of the line y = 3x + 5
What is 3?
200
Find the measure of arc EFC
234 degrees
200
Find the area of the shaded sector.
4.90 cm2
200
What is the radius of the circle x2 + y2 = 196
14
200
Identify the center of the circle with the equation of x2 + (y+8)2 = 117
(0,-8)
200
105 degrees
300
Find the length of arc AB.
2.44 cm
300
The diagram shows a projected beam of light from a lighthouse. What is the area of water that can be covered by the light from the lighthouse?
The light covers 693 square miles.
300
What is the diameter of a circle with the equation x2 + y2= 49
14
300
Write the equation of a circle whose center is at (3,-2) and has a radius of 11.
(x-3)2+(y+2)2=121
300
Which quadrilateral has does NOT have two sets of parallel, congruent sides?
trapezoid or kite
400
A circle has a circumference of 25𝜋. Find the length of an arc whose central angle is 50°.
10.9 units
400
Solve for x:
x=15
400
What is the equation of a circle with the center at the origin and a point at (2,5)?
x2 + y2 = 29
400
Find the radius of a circle with a center of (5,4) and passes through (2,7).
√(18), 3√(2), or 4.24
400
What equation are both the distance formula and circle equation derived from?
Pythagorean theorem
500
Mom baked a Dutch apple pie in a pie pan. She cut the pie into 6 equal pies so that everyone gets the same sized piece. Each slice has an arc length of 4.7 inches.
What is the diameter of the pie pan to the nearest inch.
9 inch pie pan.
500
Find the diameter of circle G.
21 m
500
What is the equation of a circle that has a diameter with endpoints at (-8,0) and (8,0)
x2 + y2 = 64
or
x2 + y2 = 82
500
Graph the circle (x+3)2 + (y-4)2 - 36 = 0
Your circle should be centered at (-3,4) and have a radius of 6.
500
Solve for y
y=0