Question

find the area of the shaded region in each of the following figures​

Answer 1

Answer:

area of full circle = 2πr^2

d=21

r=1.5

2×22/7×15/10×15/10 =14.12 cm^2

area of semi circle = πr

22/7×15/10=4.71cm^2

two semi circle = 2×4.71=9.42cm^2

• area of full circle - area of two semi circle

14.12-9.42=4.7 cm^2

area of shaded part = 4.7 cm^2

Answer 2

Given that,

$\bf ➯diameter \: of \: a \: circle \: =21m$

$\bf ➩area \: of \: circle \: = \pi \: {r}^{2}$

$\bf ⇒\dfrac{22}{7} \times \dfrac{22}{2} \times \dfrac{21}{2}$

$\bf ⇒\dfrac{11 \times 3 \times 21}{2}$

$\bf ➾346.5$

$\bf ⇒area \: of \: 2 \: semi \: circle \: = 2 \times \dfrac{1}{2} \times \pi \: r$

$\bf ⇒\cancel 2 \times \cancel \dfrac{1}{2} \times \cancel \dfrac{22}{7} \times \cancel \dfrac{10.5}{2} \times \cancel \dfrac{10.5}{2}$

$\bf ⇒ \dfrac{11 \times 5.25 \times 10.5}{7}$

$\bf ➾86.625 {m}^{2}$

$\bf ➯area \: of \: shaded \: region$

$\bf ⇒ \dfrac{area \: of \: circle}{2 \: semi \: circle}$

$\bf ⇒346.5 - 86.625$

$\bf ⇒259.875 {m}^{2}$

$\therefore area \: of \: shaded \: region \: =259.875 {m}^{2}$

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