calculate the area of the shaded region in the adjoining figure the quadrilateral ABCD is a square with side 10 cm each
is equal to 3.14
Answers
Answer:
Step-by-step explanation:
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Given :
Quadrilateral ABCD is a square of side 10 cm
Value of π = 3.14
To Find :
Area of shaded region i.e. Area of region AxDyA
Solution :
•Clearly , AyBD is a quadrant of radius r = 10 cm
•Area of quadrant AyBD =
1/4 Area of circle
•Area of quadrant AyBD = πr²/4
Area of quadrant AyBD = 3.14×(10)²/4
Area of quadrant AyBD =
314/4 cm² = 157/2 cm² = 78.5 cm²
•Now , Area of triangle ABD =bh/2
Area of triangle ABD =10×10/2
Area of triangle ABD = 50 cm²
•So, Area of region AxDA = Area of quadrant AyBD - Area of triangle ABD
•Area of region AxDA = 78.5 - 50
Area of region AxDA = 28.5 cm²
•Area of region AxDyA = Area of region AxDA + Area of region AyDA
•Area of region AxDyA = 28.5 + 28.5
Area of region AxDyA = 57 cm²