Lines, Central & Inscribed Angles
Inscribed
Triangles
Triangles
Sectors and Arc Lengths
Degrees and
Radians
Radians
100
WV=XV and
m<WCX=95^o
Find the measure of arc WV.
132.5
100
Inscribed angles are located...In, on or outside of the circle?
On
100
Calculate the area of a sector with a central angle of 40º and a radius of 12cm.
40º/360º = 1/9
1/9*144π = 16πcm squared
100
What is the measure of the angle that makes an entire circle in radians?
2π radians
200
Fill in the blanks:
A central angle has a vertex at the _________ of a circle and is made of two _______.
An inscribed angle has a vertex on the _________ of a circle and is made of two _______.
1. center point
2. radii
3. circumference
4. chords
200
True or False: An inscribed angle is half of a circle.
False, that only applies when there is a possible diameter.
200
A circle has radius 10 centimeters. Suppose an arc on the circle has length 8π centimeters. What is the measure of the central angle whose radii define the arc?
144º
200
Find the radius of a circle with a central angle of 5 radians and an arc length of 20 inches.
radians = arc length/radius
5 rad = 20 in/radius
radius = 4 inches
300
22.5o
300
What is the arc when an inscribed angle is 49.5º?
What would be the remainder of the arc?
99, 261
300
Find the arc length of a sector with angle 80º and a radius of 5 cm.
80º/360º = 2/9*2*5*π = 2/9*10π = 20/9*π = 2.22222π cm = about 6.98 cm
300
Find the area of a sector with a central angle of 2π/3 radians and a radius of 6 inches.
2π/3 * 1/2π = 1/3
36π * 1/3 = 12π inches squared
400
Arc AB measures 124º, what is the measurement of <ADB and <ACB?
62o
400
What is the measure of < D when it's intercepted arc is 970?
<D = 48.50
400
A circle has a radius of 20 centimeters and a central angle that measures 216 degrees. Find the length of the arc defined by this central angle.
216º/360º = 0.6
40π * 0.6 = 24 π cm
400
What is the value of 5π/8 radians in degrees?
5π/8 * 1/π * 180º = 5/8 * 180º = 112.5º
500
The measure of angle CAB is 33º. Find the value of x. What is the measure of arc AB?
m<BCA = 57o
Arc AC = 114º
500
Find X when <W = 7x+ 6 and it's intercepted arc = 540.
x = 3
500
Find the area of the shaded sector.
148º/360º = 0.41111...
7.5^2 π yd^2 = 56.25π yd^2
23.125π yd^2
500
Write all of the angles for the entire unit circle from memory in BOTH degrees and radians!
