Problem Solving (PS) | The centre of a giant spherical meteoroid of radius 4 km fell inside

 

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Only if the meteroid falls in the red region will the boundry be broken. Please refer to the attachedfig.

\( \pi (12)^2 -\pi (8)^2 = 144\pi - 64\pi =80\pi\) = area of red region.

 Total area of park\( = \pi (12)^2 =144\pi \)

Probability\( = \frac{80 \pi}{144 \pi} = \frac{5}{9}\)

Ans A 

Hope it helped.­­­­­­­­­­­­­­­

*fig not to scale­­­­­­
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Statistics : Posted by stne • on 29 Feb 2024, 09:14 • Replies 1 • Views 109

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