Length of the arc is $\"\"$ .

Area of the sector $\"\"$ , where $\"\"$ is the radius of the circle and $\"\"$ is the central angle.

(a)

Find the length of the outfield fence.

From the figure :

Radius is $\"\"$ feet.

Central angle $\"\"$

Convert the angle from degrees to radians :

$\"\"$ radians.

Consider $\"\"$ .

Substitute $\"\"$ and $\"\"$ in $\"\"$ .

$\"\"$

Therefore, the length of the outfield fence is 334 feet.

(b)

Find the area of the warning track.

Area of the warning track = total area $\"\"$ area of the baseball field that doesnot include the fence area.

Area of the warning track $\"\"$ .

Find the total area.

Consider $\"\"$ .

Substitute $\"\"$ and $\"\"$ in $\"\"$ .

$\"\"$

Find the area of the baseball field that doesnot include the fence area.

Substitute $\"\"$ and $\"\"$ in $\"\"$ .

$\"\"$

Area of the warning track $\"\"$ .

$\"\"$

Therefore, the area of the warning track is 3423.5 square feet.

(a) The length of the outfield fence is 334 feet.

(b) The area of the warning track is 3423.5 square feet.