Area of a sector
Using the same reasoning about radians we can also work out the area of any sector of a circle.
Example
Work out the area of the shaded area
Area of a whole circle`=pir^2`
`=pitimes13^2` `cm^2`
Logic progresses as follows:
`360^@=pitimes13^2` `cm^2`
`150^@=x` `cm^2`
`360/150` | `=` | `(pi13^2)/x` |
`x` | `=` | `(pi13^2times150)/360` |
`x` | `=` | `221.22......` |
`x` | `~~` | `221` `cm^2` |
Answer:
The area of the segment is approximately `221` `cm^2`
![](/images/user/base/Maths/Logarithms/Reference%20Tables/reference-log-table-1.4df6ee6.jpg)
![](/images/user/base/Maths/Logarithms/Reference%20Tables/reference-log-table-2.d516bb3.jpg)
![](/images/user/base/Maths/Logarithms/Reference%20Tables/reference-anti-log-table-1.b0b0513.jpg)
![](/images/user/base/Maths/Logarithms/Reference%20Tables/reference-anti-log-table-2.f89189d.jpg)