Mathematics AA: RADIAN Topical Past Paper Questions

[Maximum mark:6] Consider a circle and a sector. The radius of the circle is $ 8 \, mm $. The radius of the sector is $ r $ mm and the acute angle at the centre is $ \theta $ radians. This is shown in the following diagram. diagram not to scale The perimeter of the sector is 1.5…

[Maximum mark:5] Points A and B lie on a circle with centre O and radius $ r \, \text{cm} $, where $ \text{A}\hat{\text{O}}\text{B} = 1.5 $ radians. This is shown on the following diagram. diagram not to scale The area of sector OAB is $48\mathrm{cm}^{2}$. (a) Find the value of r…

[Maximum mark: 7] A company is designing a new logo in the shape of a letter "C". The letter "C" is formed between two circles with centre O. The point A lies on the circumference of the inner circle with radius r cm, where r (a) Show that the area of the “C” is given by $ 260 -…