Question

A rectangular forest has length 25km and breadth 15km. It has a circular lake of radius 6km. If an aeroplane crash in the forest. Find the probability.

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Answer 1

$\LARGE \sf {GIVEN}$

Length Of Rectangular Forest = 25 km

Breadth Of Rectangular Forest = 15 km

Radius Of Lake = 6 km

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TO FIND

Probability of crashing plane in forest

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We know that,

Area Of Forest = Area Of Rectangle

Area Of Forest = Length × Breadth

Area Of Forest = 25 × 15

Area Of Forest = 375

$\bf {\underline {\boxed {\pink { Area \: Of \:Forest = 375 \:km^2 }}}}$

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We know that,

Area Of Lake = Area Of Circle

Area Of Lake = π × r²

Area Of Lake = 3.14 × 6²

Area Of Lake = 3.14 × 36

Area Of Lake = 113

$\bf {\underline {\boxed {\pink { Area \: Of \: Lake = 113 \:km^2 }}}}$

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We know that,

Probability = $\dfrac {Area\: 0f \: Forest - Area \: Of \: Lake}{Area \: Of \: Forest}$

$\: \:$

Probability = $\dfrac {375 - 113 }{375}$

Probability = $\dfrac {262}{375}$

Probability of crashing plane in forest is $\sf\underline {0.7}$

Answer 2

Answer:

25km and breadth 15km. It has a circular lake of radius 6km