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A park is in the form of a rectangle $120 m \times 100 m$ . At the centre of the park there is a circular lawn. The area of the park excluding the lawn is $8700 m^{2}$ . find the radius of the circular lawn.

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32.4 m

40.4 m

30.4 m

42.4 m

answer is A.

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Detailed Solution

Given,
Dimensions of the park = 120 m

\times

100 m
So, park area

A = (120 \times 100)

A = 12000 m^{2}

Park area other than the grass

A_{g} = 8700 m^{2}

Now, circular lawn's area

A_{l} = (12000 - 8700) m^{2}

\begin{matrix} π r^{2} = 3300 (r = radius of lawn) \\ r^{2} = 3300 \times \frac{7}{22} = 150 \times 7 \\ r = 32.4 m \end{matrix}

So, radius of the circular lawn is 32.4 m.
Option 1 is Correct.

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