Trigonometric Functions – Radian Measure, Arc Length, Sector Area

Grade 11 Maths Higher — Trigonometric Functions – Radian Measure, Arc Length, Sector Area: 25 practice questions with instant scoring and explanations.

1. 1 radian in degrees is approximately:
2. π radians equals:
3. Convert 150° to radians:
4. The arc length formula is s = rθ, where θ is:
5. A circle has radius 5 cm. The arc length for a central angle of π/3 radians is:
6. The area of a sector is given by A = (1/2)r²θ, where θ is:
7. A sector of a circle with radius 6 and central angle π/4 has area:
8. If the arc length is 10 cm and radius is 5 cm, the central angle in radians is:
9. Convert 7π/4 radians to degrees:
10. 2π/3 radians equals:
11. The relationship between arc length (s), radius (r), and angle θ (in radians) is:
12. If a sector has area 15π and radius 10, the central angle in radians is:
13. -π/2 radians in degrees is:
14. A wheel with radius 20 cm completes one full rotation. The arc length traveled is:
15. The formula for the area of a circular segment is:
16. Convert -225° to radians:
17. If the arc length equals the radius, the central angle is:
18. The perimeter of a sector (including the two radii) is:
19. In a circle, if the arc length is πr, the central angle in degrees is:
20. The radian measure of 240° is:
21. A sector with radius 8 and central angle 3π/4 has area:
22. The angle subtended by an arc at the center is 2 radians and radius is 7. Arc length =
23. Convert 11π/6 radians to degrees:
24. In the sector area formula A = (1/2)r²θ, if A = 12, r = 4, then θ =
25. The degree measure of 5π/12 radians is: