A lawn of circular shape of radius $r$ contains a pond . The pond is a square inscribed in it. The owner of lawn wants to plant tress in the remaining area. Find the remaining area.

r^{2} (π - 2)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

r^{2} (π - 1)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

r^{2} (π - \frac{1}{2})

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $r^{2} (π - 2)$

Area of square $\sqrt{2} r \times \sqrt{2} r$
$= 2 r^{2}$
Remaining area $= π r^{2} - 2 r^{2}$
$= (π - 2) r^{2}$

Suggest Corrections

Similar questions

Q. A square lawn has a circular pond in the centre. Find the shaded region's area given that the diameter of circle is

\frac{1}{3}

times the diagonal of square with sides 3 cm.

Q. In the given figure a circle of radius

7 c m

is inscribed in a square, find the remaining area of the square.

Q. The perimeter of a square-shaped lawn is 96 cm. The breadth of a rectangular-shaped lawn is 16 cm. If the area of the rectangle-shaped lawn is 16

c m^{2}

less than the area of the square-shaped lawn, what is the perimeter of the rectangular lawn?

Q. In the center of a rectangular lawn of dimensions

50 m \times 40 m,

a rectangular pond has to be constructed so that the area of the grass surrounding the pond would be

1184 m^{2}

. Find the length and breadth of the pond.

A rectangular path of $\sqrt{2} m$ width is made in a square lawn as shown in the figure.
What is the remaining area of the lawn? (Given: $E H ∥ B D$ )

Join BYJU'S Learning Program

A lawn of circular shape of radius r contains a pond . The pond is a square inscribed in it. The owner of lawn wants to plant tress in the remaining area. Find the remaining area.

The correct option is A r2(π−2)Area of square √2r×√2r=2r2Remaining area=πr2−2r2=(π−2)r2

A lawn of circular shape of radius $r$ contains a pond . The pond is a square inscribed in it. The owner of lawn wants to plant tress in the remaining area. Find the remaining area.

The correct option is A $r^{2} (π - 2)$

Area of square $\sqrt{2} r \times \sqrt{2} r$
$= 2 r^{2}$
Remaining area $= π r^{2} - 2 r^{2}$
$= (π - 2) r^{2}$