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# A-Level Maths | Radians
- URL: https://www.a-level-maths-tutor.com/a-level-maths-radians/
- Published: 2026-09-09T13:51:32.000Z
- Updated: 2026-09-09T13:51:32.000Z
- Author: Jaisul Naik
- Tags: Pure Maths

Area of a sector $= \\dfrac{1}{2}r^2\\theta$

Arc length $= r\\theta$

$\\theta$ must be in radians

Degrees to radians: multiply by $\\pi$, divide by $180$

Radians to degrees: multiply by $180$, divide by $\\pi$

### Question 1

![](https://storage.ghost.io/c/37/0e/370e4698-c6d5-4470-8b24-7d14723fff86/content/images/2026/07/CleanShot-2026-07-14-at-15.40.30@2x.png)

Show Answers 

a) $3\\pi$ cm

b) $5\\pi$ cm

c) $\\frac{15\\pi}{2}$ mm

### Question 2

![](https://storage.ghost.io/c/37/0e/370e4698-c6d5-4470-8b24-7d14723fff86/content/images/2026/07/CleanShot-2026-07-14-at-15.40.36@2x.png)

Show Answers 

a) $16.6$ cm

b) $80.3$ cm

c) $31.4$ cm

### Question 3

![](https://storage.ghost.io/c/37/0e/370e4698-c6d5-4470-8b24-7d14723fff86/content/images/2026/07/CleanShot-2026-07-14-at-15.40.58@2x.png)

Show Answers 

a) $\\theta \\approx 0.69$

b) $\\theta \\approx 0.21$

c) $\\theta \\approx 0.88$

### Question 4

![](https://storage.ghost.io/c/37/0e/370e4698-c6d5-4470-8b24-7d14723fff86/content/images/2026/07/CleanShot-2026-07-14-at-15.42.08@2x.png)

Show Answers 

a) $1309.0$ cm²

b) $165.4$ cm²

c) $105.3$ cm²

### Question 5

![](https://storage.ghost.io/c/37/0e/370e4698-c6d5-4470-8b24-7d14723fff86/content/images/2026/07/CleanShot-2026-07-14-at-15.42.23@2x.png)

Show Answers 

a) $24.0$ cm²

b) $40.1$ mm²

c) $2940$ cm²

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