A-Level Maths | Radians
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
Show Answers
a) $3\pi$ cm
b) $5\pi$ cm
c) $\frac{15\pi}{2}$ mm
Question 2
Show Answers
a) $16.6$ cm
b) $80.3$ cm
c) $31.4$ cm
Question 3
Show Answers
a) $\theta \approx 0.69$
b) $\theta \approx 0.21$
c) $\theta \approx 0.88$
Question 4
Show Answers
a) $1309.0$ cm²
b) $165.4$ cm²
c) $105.3$ cm²
Question 5
Show Answers
a) $24.0$ cm²
b) $40.1$ mm²
c) $2940$ cm²
A-Level Maths Tutoring
I offer one-to-one and small group A-Level Maths tutoring for students across the UK and internationally. With 94+ five-star Google reviews and tutoring experience since 2017, I specialise in helping students understand difficult concepts and improve their exam technique.