Menu Close

A-B-and-E-are-three-circles-all-with-radius-1-unit-A-and-E-touch-at-P-whole-B-and-E-touch-at-Q-POQ-x-where-O-is-the-centre-of-E-Find-the-area-of-the-overlapping-portion-of-A-and-B-if-0-x-60-




Question Number 16570 by chux last updated on 24/Jun/17
A,B and E are three circles all   with radius 1 unit.A and E touch  at P whole B and E touch at Q.  ∠POQ=x° where O is the centre   of E.Find the area of the   overlapping portion of A and B if  0≤x≤60°
$$\mathrm{A},\mathrm{B}\:\mathrm{and}\:\mathrm{E}\:\mathrm{are}\:\mathrm{three}\:\mathrm{circles}\:\mathrm{all}\: \\ $$$$\mathrm{with}\:\mathrm{radius}\:\mathrm{1}\:\mathrm{unit}.\mathrm{A}\:\mathrm{and}\:\mathrm{E}\:\mathrm{touch} \\ $$$$\mathrm{at}\:\mathrm{P}\:\mathrm{whole}\:\mathrm{B}\:\mathrm{and}\:\mathrm{E}\:\mathrm{touch}\:\mathrm{at}\:\mathrm{Q}. \\ $$$$\angle\mathrm{POQ}=\mathrm{x}°\:\mathrm{where}\:\mathrm{O}\:\mathrm{is}\:\mathrm{the}\:\mathrm{centre}\: \\ $$$$\mathrm{of}\:\mathrm{E}.\mathrm{Find}\:\mathrm{the}\:\mathrm{area}\:\mathrm{of}\:\mathrm{the}\: \\ $$$$\mathrm{overlapping}\:\mathrm{portion}\:\mathrm{of}\:\mathrm{A}\:\mathrm{and}\:\mathrm{B}\:\mathrm{if} \\ $$$$\mathrm{0}\leqslant\mathrm{x}\leqslant\mathrm{60}° \\ $$
Commented by chux last updated on 24/Jun/17
pls help
$$\mathrm{pls}\:\mathrm{help} \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *