To find the perimeter, or distance around a quadrant, picture it as one-fourth of a circle. A baseball field is a pictorial representation of a quadrant. It has two straight edges and one side that is an arc, or a piece of a circle. Find the circumference of the entire circle, divide that by four and then add the length of both straight sides.
Calculate the Perimeter
The length of one straight side of the quadrant is called the radius. Use the radius to find the circumference of the whole circle. Take the radius measurement, multiply it by two, and then multiply that number by the value of pi, 3.14. For example, if the radius is 4 centimeters, calculate the circumference as follows:
2 x 4 x 3.14 = 25.12 centimeters
Since the quadrant is only one-fourth of the circle, divide the circumference of the circle by four -- 25.12 / 4 -- to obtain the measurement of the arc of the quadrant, or 6.28 centimeters. Add the arc of the quadrant to the two sides of the quadrant to determine the perimeter, or distance around, the quadrant, as follows:
6.28 + 4 + 4 = 14.28 centimeters