Q 32
Q32. A child makes a poster on a chart paper drawing a square ABCD of side 14 cm. She draws four circles with centre A ,B, C and D in which she suggests different ways to save energy. The circles are drawn in such a way that each circle touches externally two of the three remaining circles (Fig. 15.93). In the shaded region she write a message 'Save Energy'. Find the perimeter and area of the shaded region.(Use = 22/7) [CBSE 2015 ]
The Square ABCD have 4 quadrants
So we can say that the 4 quadrants will form a circle
The radius of quadrant is half of side of square
i.e = 14/7=7cm
So radius of circle is also 7cm
So the perimeter of shaded area is
=2πr
=2x22/7x7
=44cm
Now area of shaded area is
=area of ABCD - area of circle
=(side x side) - (πr^2)
=(14x14) - (22/7x7x7)
=196 - 154
=42cm^2