#### 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 = 100๐๐^{2}

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

= 21.5cm^{2}

Is there an error in this question or solution?

#### APPEARS IN

Solution Four Equal Circles, Each of Radius 5 Cm Touch Each Other as Shown in Fig. Find the Area Included Between Them. Concept: Problems Based on Areas and Perimeter Or Circumference of Circle, Sector and Segment of a Circle.