Question

and the square.
The area of a circle inscribed in an equilateral triangle is 154 cm
Find the perimeter of the triangle. Take V3 =1.73.
The radius of the wheel of a vehicle is 42 cm How many ravali
​

Answer 1

$\pi {r}^{2} = 154$

$\frac{22}{7} \times {r}^{2} = 154$

$r = 7$

$\frac{a}{ \sin(60) } = 2r$

$a = 2 \times 7 \times \frac{ \sqrt{3} }{2}$

$a = 7 \sqrt{3}$

$perimeter = 3a = 3 \times 7 \sqrt{3}$

$= 21 \sqrt{3} = 21 \times 1.73$

$36.33cm$