Answer:
Given that,
In circle N,
To find measure of an arc length.
Angle measure of MNP is 60
MN= 8 units.
Step-by-step explanation:
we have that,
Area of the sector is,
![=(\theta)/(360\degree)*\pi r^2](https://img.qammunity.org/2023/formulas/mathematics/college/d73n5xwwucrzh2d4ey3yyxk1qvngx4hp2m.png)
theta is the angle of the sector and r is the radius.
Here theta= 60 and r= 8
Substitute the values we get,
![=(60\degree)/(360\degree)*3.14*8^2](https://img.qammunity.org/2023/formulas/mathematics/college/qv0mck648sf5uzp6qa7lyr60gy0iu6geta.png)
Solving this we get,
![=(1)/(6)*200.96](https://img.qammunity.org/2023/formulas/mathematics/college/nu80ouswz6v9d1gvgsptqjq5n6xkn0m5d3.png)
![=33.49](https://img.qammunity.org/2023/formulas/mathematics/college/kli9k3wzd1t2duhk2nmv4g08lnwumybfad.png)
Round to nearest tenth, we get,
![=33.4\text{ sq.units}](https://img.qammunity.org/2023/formulas/mathematics/college/df9xann2moqszt1vqvrap52qnxcsfy4hq3.png)
Answer is:
![=33.4\text{ sq.units}](https://img.qammunity.org/2023/formulas/mathematics/college/df9xann2moqszt1vqvrap52qnxcsfy4hq3.png)