Question

Find the areas of the shaded portions of the following figures in which all the corners are
right angled and the dimensions are given in metres.​

Answer 1

Answer:

Let the center of circle be at O. AC is diagonal of square ABCD

AC=4

2

cm

we have AE=CF=1cm each

EF=AC−AE−CF

EF=4

2

−2

radius of circle =

2

1

EF=2

2

−1

Area of shaded region = area (ABCD) − area of circel − 4\times area of each quadrant

=4×4−π×(2

2

−1)

2

−4×

4

1

π(1)

2

=16−π{(2

2

−1)

2

+1}

=16−π{8+1−4

2

+1}

=16−(10−4

2

)π

=16−13.64439

Area =2.36cm

2

Answer 2

Answer:

1) 44 square m.

2) 50 square m.

3) 198 square m.

Step-by-step explanation:

solution is in image.