Question

there is a cardboard of dimensions 6cm ×9cm that contains a circle of radius 2cm . if a dice is thrown on cardboard then find the probability that dice rest in the circle.​

Answer 1

Answer:

for probability use the appropriate formula by finding perimeter of each figure

Answer 2

Given: A cardboard of dimensions 6cm ×9cm that contains a circle of radius 2cm.

To find: The probability that dice rest in the circle.

Solution:

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

        $6 cm * 9 cm = 54 cm^{2}$.

• The area of the circle is calculated by using the formula πr²,

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

               $= 12.571 cm^{2}$

• Here, the possible outcome is the area of the entire cardboard and the favourable outcome is the area of only the circle.

• The probability that dice rests in the circle,

       $P(E) = \frac{12.571}{54}$

                 $= 0.233$

Therefore, the probability that dice rest in the circle is 0.233.