Question

on a square board of 21cm side, a circle is drawn with a diameter equal to the side of the board. If a dice is dropped at random on the board. If a dice is dropped at random on the board,what is the probability that it will land inside the circle?

Answer 1

Answer:

The probability of falling dice inside the circle is 0.78 that is there is 78 percentage of happening it.

Step-by-step explanation:

Since

side of square = L = 21 cm

we know that the area of square shape is given as

Area of square = L²

Putting the value we can

Area of square = 21² = 441

Now if er draw the circle of have diameter equal to side of square.

So

diameter of circle = D = 21 cm

And

Radius of circle = r =  D / 2 = 21 / 2 = 10.5 cm

And we know that

Area of circle = πr²

Putting the values we get

Area of circle = π(10.5)² ≈ 346.36 cm²

Now to find the probability of falling dice inside the circle is given as

Total space = Area of square = 441 cm²

Area of desire space = 346.36 cm²

Probability of falling dice inside the circle = desire space area / total area

                                                                     = 346.36 / 441 ≈ 0.78

Thus the probability of falling dice inside the circle is 0.78 that is 78 percentage