Angles and Measurement – Complete

CLASS XI • MATHEMATICS ASSIGNMENT • STUDY MATERIAL PACK


Unit 1: Angle and Its Measurement


CORE MATHEMATICAL REFERENCE & FORMULAS

• Degrees to Radians: Multiply by π / 180 • Arc Length (S): S = rθ (where θ is in radians)

• Radians to Degrees: Multiply by 180 / π • Area of Sector (A): A = ½ r2θ (where θ is in
radians)




Section A: Angle Conversions

Instructions: Convert each degree measure into radians, and each radian measure into degrees. Show essential
simplification steps.

Part 1: Degrees to Radians

Final Answer
No. Angle (Deg) Space for Working / Steps
(Rad)

1 -290°

2 345°

3 970°

4 -510°

5 510°

6 150°

7 210°

8 -240°

9 240°

10 600°

11 -945°

12 675°

13 315°



Class XI Mathematics Assignment: Angle & Its Measurement Page 1 of 9

, Final Answer
No. Angle (Deg) Space for Working / Steps
(Rad)

14 570°

15 -520°

16 40°

17 300°

18 0°

19 555°

20 165°




Class XI Mathematics Assignment: Angle & Its Measurement Page 2 of 9