Question

There is a cardboard of dimensions 6cm * 9cm that contains a circle of radius 2 cm. If a dice is thrown on cardboard then find the probability that dice rest in the circle. 1) π/54 2) 2π/54 3) 3π/54 4) 4π/54​

Answer 1

Answer:

4) 4π/ 54

Step-by-step explanation:

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Answer 2

Given that:- A cardboard of dimensions that contains a circle of radius 2cm.

As we have to find the probability,

The area of the rectangle cardboard is calculated by multiplying length and breadth,

$6cm \times 9cm=54cm^{2}$

The area of the circle is determined by the formula of $\pi r^2,$

$=>\pi r^2=\frac{22}{7} \times (2cm)^2$

$=>12.571cm^2$

The required probability,

$P(E)=\frac{12.571}{54}$

$P(E)=\frac{4\pi}{54}$

Hence, the correct answer is an option (A).