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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 the given figure Find the area of the remaining part of the park. [Take $π = 22 / 7]$

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9384

c m 2

5412

c m 2

7895

c m 2

6998

c m 2

answer is A.

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Detailed Solution

It is given that the radius of the quadrant is r = 14 m and the side of the square park is

a = 100 m

.
We have to find the area of the remaining part of the park.
Question Image

The area of a quadrant can be expressed as

A = 1 / 4 π r 2

, where r35
is the radius.
Thus, the area of the remaining part of the park is obtained as,

A_{c} =

area of square – 4(Area of quadrant). i.e.,

A c = a 2 − 414 π r 2 ⇒ A c = 1002 − 417 π 142 ⇒ A c = 10000 − 616 ⇒ A c = 9384 cm 2

The area of the remaining part of the park is 9384

c m 2

.
Therefore, the correct option is 1.

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