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A square park has each side of $100 m$ . At each corner of the park, there is a flower bed in the form of a quadrant of radius $14 m$ as shown in figure. What is the area of the remaining part of the park? [Use $π = \frac{22}{7}$ ]

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12843 m^{2}

11284 m^{2}

9384 m^{2}

7382 m^{2}

answer is C.

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Detailed Solution

Given, a square park has each side of

100 m

.
At each corner of the park, there is a flower bed in the form of a quadrant of radius

14 m

as shown in figure.
Question Image

Area of a square is

sid e^{2}

and area of a quadrant is

\frac{1}{4} \times π r^{2}

.
Area of remaining park

=

area of park

- 4

\times

area of

1

quadrant.

\Rightarrow

Area of remaining park

= {(100)}^{2} - 4 \times \frac{1}{4} \times π r^{2}

\Rightarrow

Area of remaining park

= 10000 -

\frac{22}{7} \times 14 \times 14

\Rightarrow

Area of remaining park

= 10000 - 616

\Rightarrow

Area of remaining park

= 9384

m^{2}

Hence, option 3 is correct.

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A square park has each side of 100m. At each corner of the park, there is a flower bed in the form of a quadrant of radius 14m as shown in figure. What is the area of the remaining part of the park? [Use π=227]

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A square park has each side of $100 m$ . At each corner of the park, there is a flower bed in the form of a quadrant of radius $14 m$ as shown in figure. What is the area of the remaining part of the park? [Use $π = \frac{22}{7}$ ]