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WorksheetsThursday Group - Trigonometry
Total questions: 22
Worksheet time: 22mins
Convert 29𝝿/15 radians to degrees.
48°
148°
248°
348°
Convert the angle 345° to radians.
22𝝿/12
23𝝿/12
24𝝿/12
25𝝿/12
Convert 23𝝿/20 radians to degrees.
57°
107°
207°
257°
Convert the angle 180° to radians.
𝝿/2
𝝿
2𝝿
3𝝿
A circle has a radius of 3 cm. An arc in this circle has a central angle of 340°. What is the length of the arc? (use 3.14 for 𝜋)
51𝝿/9 cm
17.79 cm
17𝝿/3 cm
17.70 cm
A circle with a radius of 3.5 cm. An arc in this circle has a central angle of 0.65 rad. What is the length of the arc?
2.25 cm
2.28 cm
2.35 cm
2.37 cm
A circle with a circumference of 20 cm has an arc with a 72° central angle. What is the arc length?
4
4𝜋
8
8𝜋
A circle has a circumference of 18, it has an arc length of 6. What is the central angle of the arc? (answer should be in degree)
30°
60°
90°
120°
Find the area of a sector with the radius of 1 and angle of π/3.
π2
π4
π6
π8
Find the area of a sector with a radius of 10 and an angle of 2π/5 radians.
20π
40π
20π^2
40π^2
Find the area of a sector in a circle, given that it encompasses 270° of the actual circle, with a circle diameter of 26.
39π/4
507π/4
507π/2
29π/4
Lucy is making a solar panel to cover a portion of a satellite dish. If the central angle of the sector the solar panel will cover is 4π/3, and the satellite dish has a radius of 1.03m, what area will the solar panel cover?
5.54 m^2
22.2 m^2
3.25 m2^
2.22 m^2
Find the exact value of (sin 45°)(cos 60°)
1/2
2/√4
3/4
√2/4
Find the exact value of cos 60° ÷ sin 45°
1/2
√2/2
2/√2
√2/3
Find the exact value of cos^2 30°
3/4
4/3
√3/4
√4/3
Find the exact value of tan π/4
1
45°
4
1/√2
What is the reference angle for an angle that measures 730°?
10°
20°
30°
40°
What is the reference angle for an angle that measures 1175°?
55°
65°
75°
85°
What is the reference angle for an angle that measures 1496°?
36°
46°
56°
66°
What is the reference angle for 125°?
55°
65°
75°
85°
What is the reference angle for 455°?
65°
75°
85°
95°
What is the reference angle for 275°?
85°
95°
-85°
-95°
