Question

calculate the total area of the circle lying outside the square (shaded portion )

Answer 1

AREA OF 4 Circles = 4 * pi r ^2

=> 4 * 22 * 3.5 * 3.5 / 7

=> 154 cm^2

AREA OF Square = side * side

=>7*7 = 49 cm^2.

AREA OF shaded region = Area of 4 Circles - Area of Square

=> 154 - 49 cm ^2

=> 105 cm^2.

Answer 2

Answer:

The total area of the circle lying outside the square (shaded portion) is 115.5 sq. cm

Step-by-step explanation:

Area of circle is = pi r ^2

r = 3.5 cm, pi = 22/7

So, Area of the circle is: (22/7) x 3.5 cm. x 3.5 cm.  = 38.5 sq. cm

The area of unshaded portion of each circle is: 1/4 of the total area, as circles are equal and made from four corners of the square.

So the area of unshaded portion of each circle is: 1/4 of area = 38.5/ 4 sq. cm

The area unshaded portion of 4 circles is : 4 x (38.5/4) sq. cm

Area of the shaded region = Area of the 4 Circles - Area of the unshaded portion of the 4 circles = (4 x 38.5) sq. cm - 38.5/ 4 sq. cm = 3 x 38.5 sq. cm

= 115.5 sq. cm

So, the total area of the circle lying outside the square (shaded portion) is 115.5 sq. cm