Maths Inside Baseball

(qra1234) #1
Baseball and Geometry

Obviously, every sport game is performed inside their unique fields and
courts which are controlled by its regulations. Just like any other sport, a
baseball stadium has its necessary conditions, but some parts are
adjustable. All the stadiums are slightly different in sizes and
measurements.


// Adjustable Ballparks


A baseball stadium consists of four areas: infield, outfield, foul ground,
and stands. There are first, second, third base and a home plate on the
infield, and they measure 90 feet distance between them. The bases form
a rhombus shape with a length of 90 feet, so the infield is sometimes
called a diamond due to the bases’ shape. In addition, the distance from
tip of a home plate to the pitcher's plate is controlled to 60ft 6 inches,
and distance to the center of the second base is 127ft and 3 ⅜ inches.This
can be calculated through the Pythagorean theorem. Let the distance
between the bases be the length of a right triangle. When a and b is 90
and c is 127.28, 90​^2 ​+90​^2 ​=127.28​^2 ​ is proved.​^1


The mound, where the pitcher steps on, has to have a height of 10 inches
or less, and the mound has to form a gentle slope to the ground. The
slope begins 4 - 6 inches in front of the pitching rubber, and the slope
must gradually decrease by 1 inch every foot for 6 feet in the direction to
the home plate.​^1 ​ The grassline is drawn by creating an arc of a circle with
a radius of 95ft with a circumcenter at the mound. The arc connects the
left foul line to the right foul line.

Free download pdf