5 marks question long answer type
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Answers
Given that, four circular cardboard pieces are placed on a paper in such a way that each piece touches other two pieces.
Now, we join centre of all four circles to each other by a line segment. Since, radius of each circle is 7cm.
So, AB=2 × Radius of circle
=2×7=14cm
AB=BC=CD=AD=14cm
which shows that, quadrilateral ABCD is a square with each of its side is 14 cm.
We know that, each angle between two adjacent sides of a square is 90°.
:- Area of sector with A=90°
=38.5cm^2
Area of each sector=4×area of sector with A
=4×38.5
=154cm^2
and area of square ABCD= (14)^2
=196cm^2
So, area of shaded region enclosed between these pieces=Area of square ABCD - area of each sector
=196-154
=42cm^2
Step-by-step explanation:
Area enclosed space = Area of square - 4 (1/4th area of circle ) .
=(14)^2 - pie (7)^2
= 196 - 153 . 93
= 39. 06 Ans.
l hope its helps u .