Question

plz answer this question.. plz plz don't be helpless

Answer 1

After calculation from the above image,

Area of shaded region = area of circle - an area of an equilateral triangle

Area of shaded region

$= \pi {(radius)}^{2} - \frac{ \sqrt{3} }{ 4 } {(side)}^{2}$

(CM is the radius of the given circle)

$= \pi {( \frac{14}{ \sqrt{3} } )}^{2} - \frac{ \sqrt{3} }{ 4 } {(14)}^{2}$

$= {14}^{2} (\frac{\pi}{3} - \frac{ \sqrt{3} }{4} )$

$= {14}^{2} (\frac{4\pi - 3 \sqrt{3} }{12} ) \:$

$= \frac{49}{3} ({4\pi - 3 \sqrt{3} } ) \:$

$= \frac{7}{3} ({88 - 21 \sqrt{3} } ) \: c {m}^{2}$

$= \frac{7}{3} ({51.626933} ) \: c {m}^{2}$

$= 120.46 \: c {m}^{2}$