circles

There is a cool formula to find the area of a segment which is,

$\frac { \theta }{ 360 } \pi { r }^{ 2 }$

using the formula given above you can find the area as follows,

$\frac { \frac { 90 }{ 11 } }{ 360 } \times \frac { 22 }{ 7 } \times { 28 }^{ 2 }$

i.e. $\frac { 1 }{ 11 } \times \frac { 1 }{ 4 } \times 22\times { 4\times 28 }$

i.e. $2\times { 28 }$

$=56$

And we can find the area of the circle as, $\pi { r }^{ 2 }$

i.e, $\frac { 22 }{ 7 } \times 28\times 2$

$=2464$

there fore the area of the major segment is $2464-56=2408$

SIMPLE....................