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Radians, Arc Length & Sector Area — Easy Worksheet 1
Grade 11 · MathSheets Name: ____________________ Date: __________
Answer each question. When asked for a multiple of π, type only the number in front of π (for example 5/6).
How to solve
To change degrees to radians multiply by π/180; to change radians to degrees multiply by 180/π. With the angle θ in radians, the arc length is s = rθ and the sector area is A = (12)r2θ.
Example
Convert 135° to radians: 135° = ___π
Answer: 34
Not quite. The answer is
💡 Multiply by π/180: 270 × π/180 = 270π/180 = 3π/2, so the answer is 32.
✓ Correct!
Not quite. The answer is
💡 Multiply by π/180: 270 × π/180 = 270π/180 = 3π/2, so the answer is 32.
💡 How to solve: Radians, Arc Length & Sector Area
To change degrees to radians multiply by π/180; to change radians to degrees multiply by 180/π. With the angle θ in radians, the arc length is s = rθ and the sector area is A = (12)r2θ.
Try a similar one
Convert 60° to radians: 60° = ___π
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Multiply by 180/π: 2π/3 × 180/π. The π cancels, leaving 2 × 180 ÷ 3 = 360 ÷ 3 = 120°.
✓ Correct!
Not quite. The answer is
💡 Multiply by 180/π: 2π/3 × 180/π. The π cancels, leaving 2 × 180 ÷ 3 = 360 ÷ 3 = 120°.
💡 How to solve: Radians, Arc Length & Sector Area
To change degrees to radians multiply by π/180; to change radians to degrees multiply by 180/π. With the angle θ in radians, the arc length is s = rθ and the sector area is A = (12)r2θ.
Try a similar one
Convert 270° to radians: 270° = ___π
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Multiply by π/180: 60 × π/180 = 60π/180 = π/3, so the answer is 13.
✓ Correct!
Not quite. The answer is
💡 Multiply by π/180: 60 × π/180 = 60π/180 = π/3, so the answer is 13.
💡 How to solve: Radians, Arc Length & Sector Area
To change degrees to radians multiply by π/180; to change radians to degrees multiply by 180/π. With the angle θ in radians, the arc length is s = rθ and the sector area is A = (12)r2θ.
Try a similar one
Convert 120° to radians: 120° = ___π
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Multiply by 180/π: π/3 × 180/π. The π cancels, leaving 180 ÷ 3 = 60°.
✓ Correct!
Not quite. The answer is
💡 Multiply by 180/π: π/3 × 180/π. The π cancels, leaving 180 ÷ 3 = 60°.
💡 How to solve: Radians, Arc Length & Sector Area
To change degrees to radians multiply by π/180; to change radians to degrees multiply by 180/π. With the angle θ in radians, the arc length is s = rθ and the sector area is A = (12)r2θ.
Try a similar one
Convert 150° to radians: 150° = ___π
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Use s = rθ: s = 6 × π = 6π, so the answer is 6.
✓ Correct!
Not quite. The answer is
💡 Use s = rθ: s = 6 × π = 6π, so the answer is 6.
💡 How to solve: Radians, Arc Length & Sector Area
To change degrees to radians multiply by π/180; to change radians to degrees multiply by 180/π. With the angle θ in radians, the arc length is s = rθ and the sector area is A = (12)r2θ.
Try a similar one
Convert 270° to radians: 270° = ___π
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Multiply by π/180: 135 × π/180 = 135π/180 = 3π/4, so the answer is 34.
✓ Correct!
Not quite. The answer is
💡 Multiply by π/180: 135 × π/180 = 135π/180 = 3π/4, so the answer is 34.
💡 How to solve: Radians, Arc Length & Sector Area
To change degrees to radians multiply by π/180; to change radians to degrees multiply by 180/π. With the angle θ in radians, the arc length is s = rθ and the sector area is A = (12)r2θ.
Try a similar one
Convert 180° to radians: 180° = ___π
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Multiply by 180/π: π/2 × 180/π. The π cancels, leaving 180 ÷ 2 = 90°.
✓ Correct!
Not quite. The answer is
💡 Multiply by 180/π: π/2 × 180/π. The π cancels, leaving 180 ÷ 2 = 90°.
💡 How to solve: Radians, Arc Length & Sector Area
To change degrees to radians multiply by π/180; to change radians to degrees multiply by 180/π. With the angle θ in radians, the arc length is s = rθ and the sector area is A = (12)r2θ.
Try a similar one
Convert 270° to radians: 270° = ___π
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Use s = rθ: s = 9 × π = 9π, so the answer is 9.
✓ Correct!
Not quite. The answer is
💡 Use s = rθ: s = 9 × π = 9π, so the answer is 9.
💡 How to solve: Radians, Arc Length & Sector Area
To change degrees to radians multiply by π/180; to change radians to degrees multiply by 180/π. With the angle θ in radians, the arc length is s = rθ and the sector area is A = (12)r2θ.
Try a similar one
Convert 45° to radians: 45° = ___π
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Radians, Arc Length & Sector Area — Easy Worksheet 1
Answer each question. When asked for a multiple of π, type only the number in front of π (for example 5/6).