Additional Mathematics 4037: Circular measure Topical Past Paper Questions
Cambridge O Level Additional Mathematics (4037) past-paper questions on Circular measure, free. This topic is frequently examined across 12 exam sessions. Sign in for the full topic-segregated question bank and AI worksheets.
Sample questions
In this question the units are metres. The diagram shows a circle, centre O and radius 2. The chord AB has length $ 2\sqrt{3} $. The point Q lies on the circle such that AQ = BQ. The arc APB is part of a circle, centre Q. (a) Find the exact value of angle AOB in radians. [2] (b)…
The diagram shows a design for a logo. The logo is a sector of a circle, radius $ r \, \text{cm} $, with angle $ \alpha $ radians. The area of the logo is $9\ cm^{2}$. (a) Show that the perimeter, $P\,cm$, of the logo is given by $$ P=2r+\frac{18}{r}. $$ (b) Given that r can vary…
In this question all lengths are in centimetres and all angles are in radians. (a) The area of a sector of a circle of radius 24 is 432 cm^{2}. Find the length of the arc of the sector. [4] (b) The diagram shows an isosceles triangle, OAB, with $ AO = AB = y $ and height AD. OCD…
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