A circle with radius 7 , cm is drawn at the c | vedclass

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Question

(D) Area of the rectangle $=$ Length $	imes$ Breadth$= 28 \, cm 	imes 22 \, cm = 616 \, cm^2$For the circle,radius $r = 7 \, cm$Area of the circle $

Vedclass · Accepted Answer

$\frac{1}{4}$

Vedclass · Answer

(D) Area of the rectangle $=$ Length $	imes$ Breadth$= 28 \, cm 	imes 22 \, cm = 616 \, cm^2$For the circle,radius $r = 7 \, cm$Area of the circle $= \pi r^2 = \frac{22}{7} 	imes 7 	imes 7 = 154 \, cm^2$The probability that a ball hitting the rectangle hits the circle is given by the ratio of the area of the circle to the area of the rectangle.Required Probability $= \frac{	ext{Area of the circle}}{	ext{Area of the rectangle}}$$= \frac{154}{616} = \frac{1}{4}$Thus,the probability is $\frac{1}{4}$.

$A$ circle with radius $7 \, cm$ is drawn at the centre of a rectangle $28 \, cm$ long and $22 \, cm$ broad. Find the probability that a ball hitting the rectangle hits the circle.

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