Find the probability of landing in the shaded region of

floymdiT 2021-09-06 Answered

Find the probability of landing in the shaded region of the figure.
Rectangle with 2 inscribed circles. Length of the rectangle is 20m and the width is 10m
image

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Expert Answer

Adnaan Franks
Answered 2021-09-07 Author has 6708 answers

radius of circles = \(\displaystyle{\frac{{{10}}}{{{2}}}}={5}{m}\)
\(\displaystyle\therefore{P}({l}{a}{m}dim\ {s}{h}{a}{d}{e}{d}\ {r}{e}{g}{i}{o}{n}\)
\(\displaystyle={\frac{{{a}{r}{e}{a}\ {o}{f}\ bot{h}\ circle}}{{{a}{r}{e}{a}\ {o}{f}\ {r}{e}{c}{tan{{g}}}le}}}\)
\(\displaystyle={\frac{{{2}{x}\pi{\left({5}\right)}^{{2}}}}{{{20}{x}{10}}}}\)
\(= 0.7854\)

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