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 figure. Find the area of the remaining portion of the park.

Open in App

Solution

Area of remaining portion = Area of park - $4 \times$ area of 1 quadrant
= $100 \times$ 100 - $4 \times \frac{90^{0}}{360^{0}} \times \frac{22}{7} \times 14 \times 14$
= $10000 - 616 = 9384$ $m^{2}$

Suggest Corrections

Similar questions

Q. A square park has each side

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 figure. The area of the remaining part of the park is:

Q. 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. Find the area of the remaining part of the park (Use

π

= 22/7).

Q. 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. Find the area of the remaining part of the park. [Use

π = \frac{22}{7}

]

Q. A square shaped park ABCD of side

100 m

has two equal rectangular flower beds each of size

10 m \times 5 m

. Length of the boundary of the remaining park is

Question 2

A square shaped park ABCD of side 100 m has two equal rectangular flower beds each of size 10 m $\times$ 5 m (see the figure). Length of the boundary of the remaining park is

(a) 360 m

(b) 400 m

(d) 460 m

Join BYJU'S Learning Program

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 figure. Find the area of the remaining portion of the park.

Area of remaining portion = Area of park - 4× area of 1 quadrant = 100× 100 - 4×9003600×227×14×14 = 10000−616=9384 m2

Area of remaining portion = Area of park - $4 \times$ area of 1 quadrant
= $100 \times$ 100 - $4 \times \frac{90^{0}}{360^{0}} \times \frac{22}{7} \times 14 \times 14$
= $10000 - 616 = 9384$ $m^{2}$