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Question Number 55433 by peter frank last updated on 24/Feb/19

	Answered by mr W last updated on 24/Feb/19

	Commented by mr W last updated on 24/Feb/19

	Commented by mr W last updated on 24/Feb/19

	$l e t C A = x, C B = y$ $A B = d = \sqrt{x^{2} + y^{2}}$ $i n x y - c o o r d i n a t e s y s t e m e a c h p o i n t$ $i n s q u a r e a \times a r e p r e s e n t s a p o i n t$ $p a i r A a n d B . p o i n t s i n t h e s h a d e d$ $a r e a r e p r e s e n t p o i n t p a i r s A a n d B$ $w i t h A B ⩽ a .$ $\Rightarrow p r o b a b i l i t y = \frac{s h a d e d a r e a}{s q u a r e a r e a} = \frac{\frac{π a^{2}}{4}}{a^{2}} = \frac{π}{4}$
	Commented by peter frank last updated on 24/Feb/19

	$t h a n k y o u$
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