Question

the area of shaded region between a square of side 7 cm and the circle touching all sides of the square is ____ cm^2​

Answer 1

Answer:

105cm²

Step-by-step explanation:

side of square=7cm

side of square=7cmarea of square=7×7=49cm²

side of square=7cmarea of square=7×7=49cm²diameter of circle=side of square=7cm

$radius \: of \: circle = \frac{7}{2} cm$

$area \: of \: circle = \pi {r}^{2} = \frac{22( {7}^{2}) }{7}$

$area \: of \: circle = \frac{22 \times 7 \times 7}{7} = 154 {cm}^{2}$

area of shaded region=area of circle-area of square

=154cm²-49cm²

=105cm²