Question

Suppose you drop a die at random on the rectangular region with length 28 cm and breadth 22 cm.

What is the probability that it will land inside the circle with diameter 7 cm ?

28 cm​

Answer 1

FINAL ANSWER:-

$\frac{1}{16}$

GIVEN:-

• a die at random on the rectangular region (ABCD) with length 28 cm and breadth 22 cm . $l=28cm\:\:;\:\:b=22cm$
• inside the rectangular region their is a circle of diameter 7 cm. $r=\frac{7}{2}$

TO FIND:-

probability that it will land inside the circle

FORMULA USED:-

$area \:of \:rectangle=l*b$

and

$area\:of\:circle=\pi r^{2}$

SOLUTION:-

area of rectangle ABCD = AB×BC

$=28$×$22$  ⇒ $616cm^{2}$

= $\pi *r*r$

$=\frac{22}{7} *\frac{7}{2} *\frac{7}{2}$  ⇒ $\frac{77}2}$ or $38.5cm^{2}$

∴ probability that it will land inside the circle

$=\frac{area\: of \:circle}{area \:of \:rectangle}$

$=\frac{38.5}{616}$ ⇒  $\frac{385}{6160}$

⇒$\frac{1}{16}$

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Answer 2

maihuunknown ne sahi answer diya hai use brainlist bana do