the circumference of a circular track is 9 km. A cyclist rides round it a number of times and stops after covering a distance of 302 km. How far is the cyclist from the starting point? [take Π=((22)/7)]


Question and Answers Forum

All Questions Topic List
Mensuration Questions
Previous in All Question Next in All Question
Previous in Mensuration Next in Mensuration
Question Number 43531 by pieroo last updated on 11/Sep/18

$the circumference of a circular track is 9 km . A cyclist$ $rides round it a number of times and stops after$ $covering a distance of 302 km . How far is the cyclist$ $from the starting point ? [take Π = \frac{22}{7}]$
Commented by pieroo last updated on 12/Sep/18

$I can hardly interprete the solution . But thanks anyway$
	Answered by MrW3 last updated on 11/Sep/18

	$302 m o d 9 = 5 k m o r - 4 k m$ $2 π R = 9$ $\Rightarrow R = \frac{9}{2 \times \frac{22}{7}} = \frac{63}{44} k m$ $θ R = 4$ $\Rightarrow θ = \frac{4}{R} = \frac{176}{63} r a d = 160 °$ $L = 2 R \sin \frac{θ}{2} = 2 \times \frac{63}{44} \times \sin 80 ° = 2.82 k m$ $\Rightarrow t h e c y c l i s t i s 2.82 k m f a r f r o m$ $s t a r t i n g p o i n t .$
	Commented by MrW3 last updated on 12/Sep/18

	Commented by MrW3 last updated on 12/Sep/18

	$A = s t a r t i n g p o i n t$ $B = f i n i s h p o i n t$ $L = \overset{__}{A B} = d i s t a n c e b t w . A a n d B$ $w i t h \overset{⌢}{A B} = 4 k m$
	Commented by pieroo last updated on 12/Sep/18

	$yea its clear now . thanks very much$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum