RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 18. Area of Circle, Sector and Segment

Subject: Maths - Class 10th

Q. No. 4 of Formative Assessment (Unit Test)

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4

In the given figure, ABCD is a rectangle inscribed in a circle having length 8 cm and breadth 6 cm. If π = 3.14 then the area of the shaded region is

Length of Rectangle = AB = 8 cm


Breadth of Rectangle = AD = 6cm


Area of rectangle = length × breadth = 8 cm × 6 cm = 48 cm2


Diameter of Circle = AC = cm = 10 cm


Radius of circle = r = 10 cm


Area of circle = πr2 = 3.14 × 102 cm2 = 314 cm2


Area of shaded region = Area of circle - Area of rectangle


= 314 cm2 – 48 cm2 = 266 cm2

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