Paper 3 October/November 2007 MATHEMATICH (9709/3) A Levels
لطفا برای اطمینان از عملکرد و تجربه بهتر از مرورگرهای مدرن و به روز مانند کروم یا فایرفاکس استفاده کنید.

The diagram shows a circle with centre $O$ and radius $10{\text{ }}cm$. The chord $AB$ divides the circle into two regions whose areas are in the ratio 1 : 4 and it is required to find the length of $AB$. The angle $AOB$ is $\theta $ radians.
a) Show that $\theta = \frac{2}{5}\pi + \sin \theta $.
b) Showing all your working, use an iterative formula, based on the equation in part (a), with an initial value of 2.1, to find $\theta $ correct to 2 decimal…