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# In Fig. 12.25, ABCD is a square of side 14 cm. With centres A, B, C and D, four circles are drawn such that each circle touch externally two of the remaining three circles. Find the area of the shaded region. Q.7

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Sir please help me to solve the ncert class 10 areas related to circles of exercise 12.3 question no. 7 .  Find the easiest and simplest way to solve this question also find the best and easiest way to solve this question.In Fig. 12.25, ABCD is a square of side 14 cm. With centres A, B, C and D, four circles are drawn such that each circle touch externally two of the remaining three circles. Find the area of the shaded region.

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1. Side of square = 14 cm

Four quadrants are included in the four sides of the square.

∴ Radius of the circles = 14/2 cm = 7 cm

Area of the square ABCD = 14= 196 cm2

Area of the quadrant = (πR2)/4 cm2 = (22/7) ×72/4 cm2

= 77/2 cm2

Total area of the quadrant = 4×77/2 cm= 154cm2

Area of the shaded region = Area of the square ABCD – Area of the quadrant

= 196 cm– 154 cm2

= 42 cm2

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