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Question
Four equal circles, each of radius 5 cm touch each other as shown in fig. Find the area included etween them.
Solution
Area required shaded = (area of square ABCD) – (Area of 4 quadrant)
Side of square = 5cm + 5cm
= 10cm
Area of square = side × side
= 10๐๐ × 10๐๐ = 100๐๐2
Area of quadrant =`1/4` (๐๐๐๐ ๐๐ ๐๐๐๐๐๐ ๐ค๐๐กโ ๐๐๐๐๐ข๐ 5 ๐๐)
=`1/4×pir^2`
=`1/4×22/7× 5 × 5 = (25 × 3.14) 1/4 cm^2`
Area included between circles = (area of square) – 4(area of quadrant)
= `100 – (1/4× 25 × 2.14)`
= 100 – 78.5
= 21.5cm2
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