Parts of a Circle
What is the name of the longest chord in a circle?
Diameter
How many radians are in a semicircle?
Pi
Define the term "minor arc" in the context of a circle.
Less than 180 degrees
How is the arc length related to the radius and central angle of a circle?
Arc Length = radius x the central angle
A circle has an arc with a measure of 45 degrees. If the radius is 6 units, find the arc length.
4.7 units or 3/2 pi
Identify the point on a circle where the radius intersects the circle.
Center
Convert 30 degrees to radians.
Pi/6 or 0.52 rad
If an arc measures 180 degrees, what can you say about its central angle?
It is also 180 degrees
Calculate the arc length when the central angle is 60 degrees and the radius is 4 units.
4.2 units
A central angle in a circle measures 120 degrees. If the radius is 10 units, calculate the arc length.
20/3 pi or 2.1 units
What is the term for the distance around the edge of a circle?
Circumference
If an angle is given in radians, how can you convert it to degrees?
Multiply by 180/pi
Explain the difference between a major arc and a semicircle.
A major arc is greater than 180 degrees, a semicircle is exactly 180 degrees
If the arc length is equal to half the circumference, what is the measure of the central angle?
180 degrees
The arc length of a circle is 8π units, and the radius is 2π units. Find the measure of the central angle.
4 radians
In a circle, what do we call a line segment from the center to any point on the circle?
Radius
Express π/3 radians in degrees.
60 degrees
A pizza is cut into 8 equal slices. Find the angle measure of one slice.
45 degrees
R=14 cm, central angle=45 degrees. Find the arc length in terms of pi
3.5 pi
A bicycle wheel has a diameter of 26 inches. If you travel along an arc of 90 degrees, how far do you travel?
6.5 pi
Identify line JK on the circle that is on the whiteboard.
Secant
Convert 240 degrees to radians. Leave your answer in terms of pi.
4/3 pi
The right half of a circle has two sectors. One measures 7x+20 and the other is 111 degrees. Solve fore x.
R=18 in. Solve for the arc length if it is a quarter of your circumference
9 pi
A sector of a circle has an arc length of 15 units, and the radius is 5 units. Determine the measure of the central angle.
3 radians