Question

The area of an equilateral triangle is 49 root 3 cm square taking each angular point as a circle is described with radius equal to half of the length of the side of the triangleas shown in the figure .find the area of the portion in the triangle not included in the circles ​

Answer 1

Answer:

area of equilateral triangle=a^2√3

$49 \sqrt{3 = {a}^{2} } \\ 7 = a$

now,

formula

$\frac{180}{360} \times \frac{22}{7} \times 7 \times 7 \\ \frac{1}{2} \times 22 \times 7 \\ 11 \times 7 \\ 77 {cm}^{2}$

now the area required

$49 \sqrt{3} - 77$

This is the area required