Question

In given figure, a circle of radius 7.5cm is inscribed in a
square, the remaining area of the square is
A.
52.32 cm sq.
B. 46 cm sq.
C.
48.91 cm sq.
D. 48.375 cm sq.​

Answer 1

Answer:

$circumference \: of \: circle = 2 \times \frac{22}{7} \times 7.5 = 47.1$

$perimeter \: of \: square = 4 \times side \\ 47.1 = 4 \times side \\ side = \frac{47.1}{4} = 11.7$

$area \: of \: square = {11.7}^{2} = 136.89$

Answer 2

Answer:

Option D 48.375 cm sq.

Step-by-step explanation:

Radius of circle= 7.5 cm

Area of circle= 22/7×(7.5)×(7.5)

=2475/14

=176.78 approx.

Diameter of circle = 2r

=2×7.5

=15 cm

Side of square= Diameter of circle

Area of square =Side×Side

=15×15

=225

Area of remaining square= Area of square - Area of circle

=225 - 176.78

=48.37 approx