可汗学院数学题目-38Angles,arclengths,andtrigfunctions
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Angles, arc lengths, and trig functions
1.
Which of the following is the measure of the above angle in degrees?
A.180∘
B.195∘
C.210∘
D.225∘
Correct answer: B Difficulty level: 2
2.
Which of the following is the measure of the above angle in degrees?
A.120∘
B.135∘
C.150∘
D.210∘
Correct answer: C Difficulty level: 2
radians, what is the value of θ in degrees?
3.If θ=4π
9
A.20∘
B.36∘
C.80∘
D.720∘
Correct answer: C Difficulty level: 2
4.If θ=240o, what is the value of θ in radians?
A.2π
3
B.7π
6
C.4π
3
D.3π
2
Correct answer: C Difficulty level: 2
5.If θ=315o, what is the value of θ in radians?
A.5π
4
B.3π
2
C.5π
3
D.7π
4
Correct answer: D Difficulty level: 2
6.Which of the following is the value of tan(225∘)？
A.−1
B.−√2
2
C.√2
2
D.1
Correct answer: D Difficulty level: 2
7.
In the circle C shown at left, a central angle of 150o intercepts an arc 15πcentimeters (cm) in length. Which of the following best approximates the length of the radius of the circle?
A.**
B.**
5cm
C.18cm
Correct answer: D Difficulty level: 3
8.
Which of the following is the measure of the above angle in radians?
A.5π
3
B.7π
4
C.11π
6
D.23π
12
Correct answer: A Difficulty level: 3
9. A circle has a circumference of 12π feet (ft). An arc, x, in this circle has a central angle of 45∘.
What is the length of x?
ft
A.3π
2
B.3πft
C.270ft
D.540ft
Correct answer: A Difficulty level: 3
)?
10.Which of the following is the value of sin (π
2
A.-1
B.0
C.√2
2
D.1
Correct answer: D Difficulty level: 3
radians, which of the following shows the measure of θ in degrees?
11.If θ=π
2
A.45o
B.90o
C.135o
D.180o
Correct answer: B Difficulty level: 3
12.
In the diagram at left, circle C has a radius of 6 feet (ft). Which of the following best approximates the measure of the arc length s?
A.23 ft
B.46 ft
C.220 ft
D.1320 ft
Correct answer: A Difficulty level: 4
13.
In a circle with center C and radius 4 meters (m), a central angle of x∘ intercepts an arc of 20 m as shown in the diagram at left. Rounded to the nearest degree, which of the following best approximates the value of x?
A.5
B.80
C.286
D.304
Correct answer: C Difficulty level: 4
)?
14.Which of the following is the value of sin(5π
6
A.−√3
2
B.−√2
2
C.1
2
D.150
Correct answer: C Difficulty level: 4
)?
15.Which of the following is the value of sin(π
3
A.1
2
B.√3
3
C.√3
2
D.√3