Area of A Sector
Length Of A Sector
Radians
Word Problems
Random Questions
100
A sector with a central angle measure of (4pi)/5 (in radians) has a radius of 5.
What is the area of the sector? (IN RADIANS)
10pi
100
If the diameter of a circle is 5, and the central angle measure is 60, what's the length of the sector arc?
There are two valid answers.
(5pi)/6 OR (5/6)pi
100
Radians are represented by the Greek letter...
Theta
100
A fan has 3 identical blades of radius 3. The blades form an angle of 40 degrees at the center.
Find the total area of the blades. Answer in terms of pi.
3pi.
100
Solve this riddle:
I have a mouth but I do not eat.
I can run but I cannot walk.
I have a bed but I cannot sleep.
Who am I?
A River.
200
What is the central angle measure of a sector in degrees.
Radius: 7
Area: (49/3)pi
120
200
Given that the radius of a circle is 5, and the length of the arc is 5pi, what would the central angle measure be?
180 degrees
200
When using radians instead of angle measures to answer the problem to a circle's sector area or length, what do we use (in terms of pi)?
2pi
200
The total area of 3 blades of a fan is (5/2)pi.
Two of the blades form an angle of 30 and the third blade forms an angle of 40 at the center.
Find the radius of the blade.
3.
200
What year did Houdini die?
1926
300
A sector with an area of 26pi has a radius of 6.
What is the central angle measure of the sector in radians?
(13pi)/9
300
Given the angle is 120 and the radius is 10, what is the length of the sector arc?
(20/3)pi or (20pi)/3
300
Radians are represented by the abbreviation of...
rad
300
Find the area of a sector of a wheel of cheese who has a radius of 6. The central angle is 60 degrees, answer in terms of pi.
6pi.
300
What is this word using the following hints?
It is a type of bread
It has a coin in the name
The bread is very dark colored
Pumpernickel
400
Area of a sector formula?
(Angle/360) * pi * r^2
400
The length of a sector arc is defined as what?
The curving end on the arc of a sector.
400
How many radians in a full circle?
2pi (yes this is a trick question if y'all already answered Radians for 200)
400
Suppose we have a wheel of cheese with a radius of 6. The area of a sector of this wheel of cheese is 15. What is the central angle of the sector? (in pi)
150/pi
400
What is
pneumonoultramicroscopicsilicovolcanoconiosis?
A lung disease contracted by being near a volcano and/or fine dust/ash (your Answer does not have to be this specific)
500
Given the area of a sector and the radius, could you find the central angle measure? (I'm just assuming y'all did this one first based on past jeopardy games but if you didn't then womp womp)
Yes, you could.
500
What is the MAIN DIFFERENCE between the area of a sector and length of a sector arc formulas?
The area formula uses r^2, while the length formula uses 2r.
500
True or false: Radians can be used as an alternative to 360 to solve both length of an arc and the area of a sector?
True.
500
Suppose we have a pendulum. The pendulum sings at an angle of 18 degrees and the pendulum itself is 40 inches (radius). What is the length of the arc in which the pendulum swings? (in pi)
4pi.
500
In the movie 8 Mile, what real song was Eminem writing on the bus? (Bonus Points If You Get The Year)
Lose Yourself (2002)