Question

Please answer Question 15

Answer 1

Sorry but i am not able to load the picture

Answer 2

the diameter of the big circle is 14cm. (since it is the distance between two points joined by a line passing through the centre)

the radius of big circle is 14/2=7cm

the diameter of small circle is 7/4 cm

the radius of circle is (7/4)/2=7/8 cm

$area \: of \: circle = \pi \times {r}^{2} \: \: (r = radius) \\ area \: of \: bigger \: circle = \pi \times {7}^{2} \\ area \: of \: larger \: circle = \pi \times 49 \\ area \: of \: larger \: circle = 154 \: {cm}^{2}$

$area \: of \: circle = \pi \times {r}^{2} \: \: (r = radius) \\ area \: of \: smaller \: circle = \pi \times { (\frac{7}{8} )}^{2} \\ area \: of \: smaller \: circle = \pi \times \frac{49}{64} \\ area \: of \: smaller \: circle = 2.40625 \: {cm}^{2}$

here we have assumed the value of π as 22/7

shaded area=area of bigger circle-2(area of smaller circle) (since there are two circles of same diameter)

shaded area=154-(2*2.40625)

shaded area=154-4.8125

shaded area=149.1875 cm^2

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