Question

Suppose you drop a die at random on the rectangular region . What is the probability that it will land inside the circle with diameter 1m ? Breadth of rectangular region is 3m and length is2m

Answer 1

Step-by-step explanation:

This is the correct answer and hope it helps you.....

Answer 2

Answer:

$probability \: of \: of \: the \: die\\land \: inside \: the \: circle = \frac{\pi}{24}$

Step-by-step explanation:

Dimensions of a rectangular region :

Length (l) = 3 m,

Breadth (b) = 2 m ,

Area of the rectangular region = l × b

= 3 m × 2 m

= 6 m²

Diameter of the circle (d) = 1 m,

$Area \: of \: the \: circle = \frac{ \pi d^{2}}{4}\\=\frac{ \pi \times 1^{2}}{4}\\=\frac{\pi}{4}$

$Now , probability \: of \: of \: the \: die\\land \: inside \: the \: circle = \frac{ Favourable \: area }{Total \: area }\\=\frac{Area\:of \:the\:circle }{Area\:of \: rectangular \: region }\\=\frac{\frac{\pi}{4}}{6}\\=\frac{\pi}{24}$

Therefore,

$probability \: of \: of \: the \: die\\land \: inside \: the \: circle = \frac{\pi}{24}$

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