area of the infield.
The arc of a grass line is actually an arc of a circular sector because we
have drawn the grass line using the circumference of a circle. This sector
has a radius of 95ft, and the central angle is known to be 143.5°.
Image 3-10: Diagram of Infield of a Baseball Field IV
(Not Drawn to Scale)
Using the formula of circular sector A=πr^23 θ 6 ° 0 °,
A=π·( 95 )^2 ·^134630.^5 ≃ 11301. 77 ft^2
Now, we have to calculate the area of the remaining part of the infield.
To do this, let's make two triangles by creating a line representing the
distance between the center of the mound and end of the home plate.