Question

12 m
-10 m
13 m
8 m
2 m
10 m. calculate the area of each one of the shaded region given below
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Answer 1

Answer:

(a)Area of square=(side)

2

=10

2

=100cm

2

For small semicircle radius r=

2

AB

=

2

10

=5cm

Area of semi circle=

2

π.r

2

=

2

π×5

2

=12.5πcm

2

For quadrant radius r=10cm

Area of quadrant of circle=

4

π.R

2

=

4

π×100

=25πcm

2

Area of shaded region= Area Quadrant-Area of semicircle

=25π−

2

25π

=

2

25π

cm

2

(b) Perimeter of shaded portion=length of arc of small semicircle+length of arc of quadrant+side of square

=

2

2π.r

+

4

2.π.R

+10

=5π+5π+10

=10(π+1)cm