3 circles each of radius 3.5 cm are drawn in such a way that each of them touches the other two . find the area enclosed between these three cicles (shaded region )use pie=22/7?

Hello,

If we try to draw the figure as per the given the question, then it will look like this :-

__Ignore the measurements __

**Area of the shaded region = Area of equilateral triangle - Areas of 3 sectors of 60 at vertices of triangle**

= rt.3/ 4 * 7 * 7 - (3 * 60/360 * 22/7 * 3.5 * 3.5) **(side of equi. tri = 3.5 +3.5 = 7 cm** **) **

= 49 rt3 / 4 - (11*5*35) /100

= 84.868/4 - 1925/100

= 21.217 - 19.25 = **1.967 cm ^{2}**

**Hope it helps !**

**Plz. thumbs up.**

**ANURAG.**