Circle Terminologies
What name is given to a figure whose distance from a fixed point to any point on the curve is always constant?
CIRCLE
What name is given to a curved line that is a part of the circle?
Arc
TRUE or FALSE
The circumference of a circle is the amount of space it occupies
FALSE
Describe the difference between finding the area of a sector versus area of a segment.
Sector is a percent of entire circle, Segment is treated like a shaded area problem
What is Finley's favorite genre of music?
80's hair metal
True or false. The formula for arc length is radius * central angle in degrees.
False
A line drawn whose endpoints are on the circle and it doesn't go through the center.
CHORD
The circumference of a circle is 70m. Find the length of the arc whose central angle is 36 degrees. (units)
7m
Find the area of a sector with a sector angle of 90 degrees and a radius 7m. (units)
38.5m2
What is Finley's favorite Schwarzenegger movie?
Predator
A line that touches the circumference of the circle only once.
TANGENT
The part of the circle enclosed by a chord and an arc
SEGMENT
True or false. Pi is the answer when you take Circumference divided by diameter.
True
The circumference of the circle is 20pi cm. What is the area of the sector made with a 72 degree angle? (exact, units)
2pi cm2
What color of pants does Finley usually wear on Fridays?
Orange
The part of a circle enclosed by 2 radii and an arc
SECTOR
An angle on the circumference that subtends the same arc as a central angle.
Inscribed Angle
If the arc length is 5pi meters and the radius is 7 meters, what is the central angle in degrees? (exact answer only)
900/7 degrees
A ceiling fan has 3 blades. The entire area of all 3 blades is 3.5pi ft2 and the diameter of the fan is 4 feet. Name 3 central angles for the fan's blades that would work mathematically in this scenario. (many possible answers, degrees)
Need 3 angles to add to 315 degrees.
Where did Finley teach before Loveland High?
Aspen
Two radii cut a circle into 2 sectors, give the name for both pieces of the circle.
MINOR SECTOR AND MAJOR SECTOR
How many angles are in this picture?
8 angles
Find the length of an arc created from an angle of 65 degrees. The entire area of the circle is 30pi squared meters. (Exact, units)
13 * sqrt(30) * pi / 36 meters
Find the area of the segment made with an 135 degree central angle if the entire circumference is 17pi m. (exact, units)
[867pi/32 - 289*sqrt(2)/16] m2
Johnny Bravo