Question

There is a rectanglular tank of length 180 m and breath 120 m in circular field ,if the area of the land portion of the field is 40000m^2 .What is the radius of the field

Answer 1

Length of tank = 180 m

Breadth of tank = 120 m

Area of tank = l × b

= 180 × 120

= 21600m^2

Area of land portion = 40000m^2

Arae of field = 40000 + 21600

= 61600

$\pi \: {r}^{2} = 61600$

$\frac{22}{7} \times {r}^{2} = 61600$

${r}^{2} \: = \: \frac{7}{22} \times \: 61600$

${r}^{2} = 7 \times 2800$

${r}^{2} = 19600$

$r = \sqrt{19600}$

$r = 140m$

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