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
\(A=\pi r^2\times (\frac{\theta}{360})\)
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°.
\(A=\pi (8)^2\times (\frac{45}{360})\)
\(A=8\pi\)
\(A=25.1327412287\)
\(A\approx 25.133\)
Therefore the area of the sector is 8π or 25.133 square inches.
