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
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
