Question

find the area of shaded portion 7 metre and 14 metre​

Answer 1

Answer:

first find the total area

and then minus the unshaded partfrom the total

Step-by-step explanation:

your answer will be visible to you

Answer 2

Let the radius and diameter of the bigger circle be R and D , the smaller circle be r and d.

To find the area of the bigger circle,

D = 14m

$\bold{\: R = \: \frac{14}{2} }$

= 7 m..

Area = πr²

$\implies \bold{\frac{22}{ \cancel7} \times 7 \times \cancel7}$

=> 154 m².

To find the area of the smaller circle,

d = 7m

$\bold{\: R = \: \frac{7}{2} }$

= 3.5 m..

Area = πr²

$\bold{\implies \: \frac{22}{7} \times 3.5 \times 3.5} \\ \\ \bold{ \implies \: \frac{ \cancel{22} \: \:¹¹ }{ \cancel7} \times \frac{ \cancel{35} \: \:}{ \cancel{10}} \times \frac{35}{10} } \\ \\ \bold{ \implies \: 38.5 \: {m}^{2} }$

Therefore,

$\bold{Area \: of \: shaded \: region = \: \frac{Area \: of \: bigger \: circle }{Area \: of \: smaller \: circle } } \\ \\ \bold{ \implies \: \frac{154 \: {m}^{2} } {38.5 \: {m}^{2} } } \\ \\ \bold{ \implies \frac{ \cancel{154} \: \: ²\times \cancel{10} \: \:² }{ \cancel{385}} } \\ \\ \bold { \implies \: 4 \: {m}^{2} \: \: \: ....(ans)}$