Question

pls guys..... I want the answer for this in a written way .... first answer will be marked as brainliest.....

Answer 1

Heya your answer is here...

➡Let each side of the equilateral triangle be x cm. Then,

Area of equilateral triangle ABC = 17320.5cm^2(Given)

$\frac{ \sqrt{3 {x}^{2} } }{4} = 17320.5$

$\frac{1.7320 {x}^{2} }{4} = 17320.5$

${x}^{2} = \frac{4 \times 17320.5}{1.73205}$

${x}^{2} = 40000$

Therefore,

$x = 200 \: cm$
Thus, radius of each circle =

$\frac{200}{2} = 100 \: cm$

Area of shaded region = Area of triangle ABC - 3×Area of a sector of angle 60° and radius 100cm.

$17320.5 - 3 \times \frac{60}{360} \times \pi \times {100}^{2}$

$17320.5 - \frac{1}{2 } \times \pi \times 100 \times 100$

$17320.5 - 3.14 \times 5000$

$17320.5 - 15700$

$= > 1620.5 {cm}^{2} answer$

$\mathfrak \: \boxed {hope \: it \: will \: help \: you}$