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Answers
here is your answer
Area of each of the 4 sectors is equal to each and is a sector of 90∘in a circle of 7 cm radius.
Area of each sector = 90∘|360∘×π(7)2
=1|4×227×7×7
=77|2cm²
Area of Square of ABCD =(Side )2
=(14)2
=196cm²
Area Of shaded portion = Area Of square ABCD - 4 x Area Of each sector = 196−4×77|2
=196−154
=42cm²
Therefore , the area of shaded portion is 42cm²
hope this will help u :)
Step-by-step explanation:
Hey ❤
Given-: Square ABCD ; Side = 14cm
To find-: Area of the shaded region
Solution -: From the figure it is clear that side of square =2*radius of each circle
Therefore radius of each circle = 7cm
Area of Square = 14*14= 196 sq.cm
Area of each circle =Area of 4 quadrants =π*r*r = 3.1415 * 7 * 7= 153.9335
Therefore,
Area of shaded region = Area of Square - Area of 4 quadrants
= 196 - 153.9335
= 42.0665 sq.cm
~ 42sq. cm