Vocabulary
Arc Length
Area
Angles
Radians
Potpourri
100
A) This line goes from the center to the side of a circle.
B) This line goes from a point on the circle through the center to a point on the opposite side.
A) Radius
B) Diameter
100
What formula can be used to find the length of arc DB?
100
This is the the formula to be used when finding area of a sector given the radius and central angle of the sector in degrees.
A = theta/360 * pi(r2)
100
CAD is the diameter. What is the measure of angle CDE?
63°
100
360 degrees is this many radians.
2pi
100
This US State is home to the Liberty Bell.
Pennsylvania
200
A) The distance around a portion of the circle.
A) Arc Length
200
Find the length of the arc (in terms of pi) measuring 60 degrees in a circle with radius 6 cm.
2pi
200
Find the area of a sector (in terms of pi) in a circle with radius 6 and central angle 30 degrees.
3pi
200
Lines that appear to be tangent are tangent. What is the measure of ∠OML
90°
200
30 degrees is this many radians.
pi/6
200
What was the exact date the US entered World War 2?
December 8, 1941
300
A) An angle whose vertex is at the center of the circle.
B) An angle whose vertex is on the circle and whose sides are chords of the circle.
A) Central Angle
B) Inscribed Angle
300
This is the formula to find arc length given the radius and the measure of the central angle in radians.
l = theta * r
300
This is the formula to find the area of a sector when given the radius and the measure of the central angle of the sector in radians.
A = 1/2 * r2 * theta
300
Lines that appear to be tangent are tangent. What is the measure of the arc from M to P that does pass through N?
195°
300
What are radians?
A way to measure angles, where one radian is the central angle measure when the radius is equal to the arc length.
The ratio between the arc length and the radius of a circle.
300
This river originates in Crawford Notch and enters the Atlantic Ocean in Maine.
The Saco River
400
A portion of the area of a circle
Sector
400
Find the length of arc DB. Leave your answer in simplest form in terms of pi
(35pi)/3
400
Find the area of a sector with an arc length of 2pi and a radius of 4 cm.
4pi
400
Lines that appear to be tangent are tangent. What is the measure of ∠MNP?
82.5°
400
A sector of a circle has radius 4 cm and arc length 6pi. What is the measure of the central angle in radians?
3pi/2
400
What year was the first iPhone released?
2007
500
This term is synonymous with arc length when the central angle is 360 degrees.
Circumference
500
Find the measure of the central angle of a sector with an arc length of 3pi and radius of 18 in.
30 degrees
500
What is the radius of a circle that has a sector area of 12pi cm2 and a central angle of (2pi)/3 radians?
6 cm
500
Lines that appear to be tangent are tangent. What is the measure of ∠MLP?
15°
500
Quadrilateral ABCD has the following angle measures (in radians):
Angle A = 5pi/6
Angle B = 2pi/3
Angle C = pi/6
Angle D = pi/3
Yes, opposite angles add up to pi.
500
This sauce is made from fermented bean paste, roasted grain, brine, and mold.
Soy Sauce