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In the Given Figure, Find the Area of the Unshaded Portion Within the Rectangle. (Take π = 22/7). - Mathematics

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Question

In the given figure, find the area of the unshaded portion within the rectangle. (Take π = 22/7).

Sum

Solution

In the given figure
Radius of circle = 3 cm
Length of rectangle = 15 cm
Breadth of rectangle = 6 cm

The area of the unshaded portion within the rectangle

= Area of rectangle - [ Area of I + II + `1/2`III ] circles

= 15 x 6 - [ Area of `2 1/2` circles ]

= 90 - `5/2` x πr

= 90 - `5/2` x 3.14 x 32

= 90 - 70.65
= 19.35 cm2.

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Chapter 17: Mensuration - Exercise 3

APPEARS IN

ICSE Mathematics [English] Class 10
Chapter 17 Mensuration
Exercise 3 | Q 8

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