Find the area of the shaded region in figure, where ABCD is a
square of side 10 cm and semicircles are drawn with each
side of the square as diameter (use me 3.14)
10 cm,
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Answer:
Step-by-step explanation:
Given:
Side of square ABCD=10cm
Area of square ABCD=(side)
2
=10
2
=100sq.cm
Given semicircle is drawn with side of square as diameter.
So, Diameter of semicircle=Side of square=10cm
Radius of semicircle=
2
side
=
2
10
=5cm
Area of semi-circle AD=
2
1
×Area of circle
=
2
1
×πr
2
=
2
1
×3.14×5
2
=
2
3.14×25
Since radius is same for semi-circle AD,BC,AB,CD
Area of semi circleAD=Area of semi circle BC=Area of semicircle AB
=Area of semicircle CD=
2
3.14×25
Area of 4 semicircles−Area of shaded region=Area of square ABCD
Area of shaded region=Area of 4 semicircles−Area of square ABCD
=4×
2
3.14×25
−100=157−100=57cm
2
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