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 cm2
Hope it helps !
Plz. thumbs up.
ANURAG.