Question

Find the area of shaded region if side of square is 10cm

Answer 1

Area of the shaded region
= Area of four semicircles - Area of the square
= 4*1/2*π*r^2 - length of each side ^2

= 2π*5^2 - 10^2 = 50π - 100 = 100(π/2-1)
= 100*(1.57-1) = 57 cm^2 approximately

You can calculate the correct value up to two or three decimals using a calculator.

Answer 2

HEY MATE HERE IS YOUR ANSWER--

THE TOTAL AREA SHADED = SQUARE AREA- FOUR SEMI CIRCLE


FIRST TAKE 1 AND 3 SEMI CIRCLE


SQUARE AREA - 1 AND 3 SEMI CIRCLE

$s \times s - \: \frac{1}{2} \pi {r}^{2} \times 2$

$10 \times 10 - \frac{1}{2 } \times 3.14 \times {5}^{2} \times 2 \: {cm}^{2}$

$100 - 3.14 \times 25$
$21.5 {cm}^{2}$

SEMI CIRCLE 2 AND 4 WILL
$= 21.5 {cm}^{2}$

so,area of shaded design= AREA of square- area of ( 1+2+3+4 semi circle)

$(100 - 2 \times 21.5) {cm}^{2}$
$(100 - 43) {cm}^{2}$

$57 {cm}^{2}$

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MATE'S