Shape and Space 7
3 marks · EasyThe table shows data for three sectors of a circle. The radius of all the sectors is 6 cm.
| Sector | Angle at Centre | Arc Length (cm) |
|---|---|---|
| A | 60° | |
| B | 120° | |
| C | 180° |
Calculate and complete the missing arc lengths for sectors A, B, and C. Enter your answers to 2 decimal places.
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
Show answer
| Sector | Arc Length (cm) | |--------|-----------------| | A | 6.28 | | B | 12.57 | | C | 18.85 |
Common mistakes: Mixes up formula or rounds incorrectly; Calculates area not length
Show mark scheme and worked solution
Marking points
M1 · 1 mark · Applies arc length formula to any sector correctly.
A1 · 2 marks · Calculates two or three arc lengths correctly to 2 decimal places. (follow-through)
Worked solution
Arc length = , with
| Sector | Calculation | Arc Length (cm) |
|---|---|---|
| A | 6.28 | |
| B | 12.57 | |
| C | 18.85 |