Answer:
The area of the sector is 8π or 25.133 square inches.
Step-by-step explanation:
The formula for area of a section is
[tex]A=\pi r^2\times (\frac{\theta}{360})[/tex]
Where, r is the radius of the circle and θ is the central angle.
It is given that the radius of the circle is 8 inches and the sector has an arc that measures 45°, it means the central angle is 45°.
[tex]A=\pi (8)^2\times (\frac{45}{360})[/tex]
[tex]A=8\pi [/tex]
[tex]A=25.1327412287[/tex]
[tex]A\approx 25.133[/tex]
Therefore the area of the sector is 8π or 25.133 square inches.
