Answer : The area of sector is,
![272.57mm^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/8sy443djrl2gxg8ldc3yzlmb0ahgklnsjt.png)
Step-by-step explanation :
Formula used to calculate the area of sector in degree is:
Area of sector =
![(\theta)/(360)\pi r^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/c70iqnkr7xjl8yex656jklrgk6gqsa1jog.png)
where,
= angle =
![50^o](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6vtxxri44phqzwsfpymrvz2ttp2nrjdpaz.png)
r = radius = 25 mm
Now put all the given values in the above formula, we get:
Area of sector =
![(\theta)/(360)\pi r^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/c70iqnkr7xjl8yex656jklrgk6gqsa1jog.png)
Area of sector =
![(50)/(360)* 3.14* (25)^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/xl1vnvyynx1ek4s9tbhpx031ua15r0udnq.png)
Area of sector =
![272.57mm^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/8sy443djrl2gxg8ldc3yzlmb0ahgklnsjt.png)
Therefore, the area of sector is,
![272.57mm^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/8sy443djrl2gxg8ldc3yzlmb0ahgklnsjt.png)