Area and Circumference
Central Angles
Arc Measures
Arc Length and Area Sector
Inscribed Angles
FINAL JEOPARDY
100
What is the perimeter of the circle called?
Circumference
100
Where is the vertex of a central angle located?
The center of the circle.
100
What is an arc that measures less than 180°
A minor arc
100
What is the formula for arc length?
L=θ/360×2πr
100
Where is the vertex of an inscribed angle located?
On the outside of the circle
200
What is the formula for finding the area of a circle?
A=pir^2
200
A central angle intercepts an arc of 80°. What is the measure of the central angle?
80°
200
What is an arc that measures 180° called?
Semicircle
200
What is the formula for sector area?
theta/360xxpir^2
200
An inscribed angle intercepts an arc of 80°. What is the measure of the inscribed angle?
40 degrees
300
A circle has a diameter of 10. Find its area
A=25pi
300
How many degrees the sum of all central angles in a circle adds up to?
360 degrees
300
If a minor arc measures 145°, what is the measure of the major arc in the same circle?
360-145= 215 degrees
300
A circle has a radius of 9 cm. Find the area of a sector with a 120° central angle.
27pi
300
An inscribed angle measures (2x+30)∘, and its intercepted arc measures (6x+10)∘. Solve for x.
x =25
400
A circle has an area of 81π. What is its diameter
18
400
A pizza is cut into 8 equal slices. What is the measure of each central angle?
45 degrees
400
A central angle measures (3x+10)∘ and its intercepted arc measures (5x−20)∘. Solve for x.
x = 15
400
A Ferris wheel has a radius of 20 m. A passenger moves along an arc with a central angle of 90°. How far does the passenger travel?
10pi
400
Solve for ?
? = 73 degrees
500
A circle has an area of 314.15. What is its circumference?
C=20pi
500
120 degrees
500
Solve for X
x = 7
500
Find the central angle of a circle if the arc length is 40π and the radius is 120m.
60 degrees
500
Solve for x
x = 10
500
A satellite orbits Earth along a circular path. Two ground stations, A and B, are positioned on Earth’s surface such that they both receive signals from the satellite at the same time. The inscribed angle formed by the ground stations and the satellite is 108∘. The satellite is directly above a point on Earth's surface, forming a central angle with respect to A and B. What is X if the central angle subtended by A and B is 2x+34?
x= 37