+2 votes
in Class 10 by kratos

Four equal circles, each of radius 5 cm, touch each other as shown in Fig. Find the area included between them. (Take π = 3.14).

1 Answer

+4 votes
by kratos
 
Best answer

From the figure we can see that,

Side of the square = 10 cm

We know that area of the square = side x side = 10 x 10 = 100 cm2

Radius of the quarter circle = 5 cm

Area of the quarter circle = (π r2)/4

Area of 4 quarter circle = 4 × (πr2)/4

= πr2

= 3.14 × (5)2

= 78.5 cm2

Area included in the quarter circle = Area of the square – Area of the four quarter circles

Area included in them = (100 – 78.5) cm2

= 21.5 cm2

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