Question

please answer question number 21

Answer 1

√3/4 a*a =49√3
implies a= 14cm
half of side is 7cm
so radius of each circle is 7cm
area of each circle is (22/7)*7*7=154sq.cm
but when we draw the diagram we notice that only a part of circle is inside triangle and the angle is 60degrees as given is an equilateral triangle.

so area if 1 such part is (60/360)*154= 77/3aq.cm
so total area of all the 3 such parts if the circle is (77/3)*3= 77sq.cm

given area of triangle is 49√3sq.cm
so area if triangle not included in circles =
49√3 -77 = 7.87sq.cm

Answer 2

Here is Diagram☺
Solution is correct in other answer☺