Lines, Angles, & Circles
Polygons and Circles
Measuring Circles
Misc.
Final Jeopardy
(hard mode)
(hard mode)
100
Fill in the blank:
Inscribed angles are formed from ______ in a circle. Central angles are formed from ______ in a circle.
Inscribed angles are formed from chords in a circle. Central angles are formed from radii in a circle.
100
Describe the difference between the incenter and circumcenter of a triangle.
Incenter: constructed from angle bisectors
Circumcenter: constructed from perpendicular bisectors of sides
100
Convert 50 degrees to radians
(5pi)/18 radians
100
Draw an analog clock showing the time 3:45pm
100
Triangle ABC is shown with its incenter at D. The inscribed circle’s radius measures 2 units. The length of AB is 9 units. The length of BC is 10 units. The length of AC is 17 units. What is the area of triangle ABC?
36un2
200
What is the Inscribed Angle Theorem?
Inscribed angles are half the value of the central angle that shares the same arc.
200
Quadrilateral ABCD is cyclic with given angle
measures. What is the measure of angle C?
45 degrees
200
Convert an angle of 3 radians into degrees. Round to the nearest tenth.
171.9 degrees
200
What is the official motto of EGR schools?
A Tradition of Excellence
200
arc length = 5 units
300
Chords AC and DB intersect at point E. List 3 pairs
of angles that must be congruent.
ADB = ACB
DEA = CEB
CAD = CBD
300
Triangle A is a right triangle. Triangle B is an acute triangle. Where will the circumcenter be for each triangle?
Triangle A: on the hypotenuse
Triangle B: inside the triangle
300
Find the sector angle measurement in radians where r is the radius and L is the arc length of the sector.
r = 7cm
l = 9pi
(9pi)/7radians
300
A circle has a radius of 32.5 centimeters and a central angle that measures 288 degrees.
Find the length of the arc defined by this central angle. Keep your answer in terms of pi.
l = 52picm
300
A certain sector of a circle has a radius of 3in and an arc length of 2in. Determine the angle of the sector in degrees and radians. Round to the nearest degree. Give radians as a fraction.
38 degrees
2/3 radians
400
What is the measure of the arc from A to B that passes through C?
arc AB = 260 degrees
400
The following quadrilateral is cyclic. The measure of angle B = 4x + 12 and angle D = 3x - 7. What is the value of x?
x = 25
400
A circle has radius 4 units and a central angle measuring 45 degrees. What is the length of the arc defined by the central angle?
l = pi
400
What was the #1 song on the Billboard Top 100 for 2024?
"Lose Control" - Teddy Swims
400
BOC = 48piun^2
500
Line AC is perpendicular to the circle centered at O
with radius 1 unit. The length of AC is 1.5 units. Find
the length of segment AB. Round to the tenths place.
0.8 units
500
Triangle ABC is shown with an inscribed circle of radius 4 units centered at point D. The inscribed circle is tangent to side AB at the point G. The length of AG is 6 units and the length of BG is 8units. What is the measure of angle ADB?
angle ADB = 119.74 degrees
500
A circle has radius 6 units. For the given arc length, find the area of a sector of this circle which defines that arc length.
l = 5pi
A = 15pi
500
When was the last year the MSU basketball team won the March Madness tournament
2000-2001
500
Line AC is tangent to the circle centered at O with radius 3 units. The length of segment AC is 4.5 units. Find the length of segment AB. Round to the nearest hundredth.
AB = 2.41