Question

2. Quadrants of radius 10 cm are cut from each corner of the square ABCD to leave
the figure shaded in the diagram. Taking π to be 3.14, find
(a). the total area of 4 quadrants
(b). the area of the shaded region,
(c). the perimeter of the shaded region.

Answer 1

Answer:

Area of square =Side

2

=4

2

=16cm

2

Area of cut portion = Area of two circles = 1 circle + 4quadrants

=2× pi×1

2

=6.28cm

2

So, area of remaining portion of square =(16−6.28)=9.72cm

2

Perimeter of the shaded region =4 quadrant + 1 circle+portion of the square

=4×

4

2πr

+2πr+4(2)

=4×

4

2π(1)

+2π(1)+8

=4π+8

=20.56cm

Answer 2

Answer:

Yes the above answer was Right