Math, asked by bhumika12311, 11 months ago

the diameter of a circular garden is 70m.
there is square shape fountain in A garden having side 2om.
If a ball falls in the garden. Find the probability that the ball feel is in the fountain ​explain....

Answers

Answered by anu24239
25

ANSWER....

FROM YOUR QUESTION WE CONCLUDE THAT IF A SQUARE FOUNTAIN IS PRESENT IN THE CIRCULAR GARDEN SO THERE IS SOME CHANCE DUE TO WHICH THE BALL FALLS IN THE CIRCULAR FOUNTAIN THE METHOD WHICH HELPS TO CALCULATE THE CHANCE OF THAT TYPE OF THINGS IS KNOWN AS

PROBABLY.....[]

probability \: of \: a \: ball \: fall \: into \\ square \: fountain..... \\  \\  \frac{area \: of \: square}{total \: area \: of \: garden}  =  \frac{ {a}^{2} }{\pi {r}^{2} }  \\  \\ where \: a \: is \: the \: side \: of \: square \:  \\ r \: is \: the \: radius \: of \: the \: circle \\  \\ radius =  \frac{diameter}{2}  \\  \\ radius =  \frac{70}{2} ........(diameter = 70) \\  \\ radius = 35 \: m \\  \\ side \: of \: square = 20m \\  \\ total \: area = area \: of \: circle \\  = \pi {35}^{2}  = 22 \times 5 \times 35 = 3850 {m}^{2}  \\  \\ area \: of \: fountain = area \: of \: square  \\  {20}^{2}  = 400 {m}^{2}  \\  \\ probability =  \frac{400}{3850 }  =  \frac{8}{77}

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