Respuesta :

Answer:

Given that,

In circle N,

To find measure of an arc length.

Angle measure of MNP is 60

MN= 8 units.

Explanation:

we have that,

Area of the sector is,

[tex]=\frac{\theta}{360\degree}\times\pi r^2[/tex]

theta is the angle of the sector and r is the radius.

Here theta= 60 and r= 8

Substitute the values we get,

[tex]=\frac{60\degree}{360\degree}\times3.14\times8^2[/tex]

Solving this we get,

[tex]=\frac{1}{6}\times200.96[/tex][tex]=33.49[/tex]

Round to nearest tenth, we get,

[tex]=33.4\text{ sq.units}[/tex]

Answer is:

[tex]=33.4\text{ sq.units}[/tex]