Question

find the area of the coloured regions

Answer 1

*Since both the smaller semi circles have the same diameter, their area are the same.

Find radius:

Radius = Diameter ÷ 2

Radius = 14 ÷ 2

Radius = 7

Find the area of the shaded region:

Area = 1/2 π r²

Area = 1/2 π (7)² = 77 cm²

Answer: The shaded region is 77 cm²

Answer 2

$\large {\huge{ \color{red}{ \mathfrak{ \star{welcome \: to \: my \: answer}}}}}$

$\bold{ \small{required \: answer}}$




$\large {\huge{ \color{violet}{ \mathfrak{ \star{here}}}}}$



$\bold{ \small{two \: semicircle \: and \: their \: diameter \: same}}$



$\large {\huge{ \color{red}{ \mathfrak{ \star{again}}}}}$


$\bold{ \huge{radius \: of \: circle}}$

$\bold{ \huge{ = ) \frac{14}{2} = 7cm}}$

$\bold{ \huge{radius \: of \: another \: circle}}$

$\bold{ \huge{ = ) \frac{14}{2} = 7}}$

$\bold{ \huge{ \boxed{area \: of \: shaded \: portion}}}$

$\bold{ \huge{ \frac{1}{2} \pi \: r}}$
$\bold{ \huge{ \frac{1}{2} \times \frac{22}{7} \times ( {7}^{2)}}}$



$\bold{ \huge{\green{ \frac{539}{7} = 77cm}}}$
$\bold{ \huge{\green{{ dhanyavaad}}}}$