# Find the Area of the Shaded Region in the Given Figure, If Abcd is a Rectangle with Sides 8 Cm and 6 Cm and O is the Centre of the Circle. - Mathematics

Sum

Find the area of the shaded region in the given figure, if ABCD is a rectangle with sides 8 cm and 6 cm and O is the centre of the circle.

#### Solution

In right triangle ABC

AC2 = AB + BC

= 82 + 62

= 64 + 36

= 100

∴ AC2 = 100

⇒  AC = 10 cm

Area of the shaded region = Area of circle − Area of rectangle OABC

=> pi("OA")^2 -"AB"xx"BC"

⇒ 22/7xx(5)^2-8xx6

= 78.57 - 48

= 30.57 cm

Hence, the area of the shaded region is 30.57 cm2.

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#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 18 Area of Circle, Sector and Segment
Exercise 18A | Q 43 | Page 823