$A \,=\, 2lw+\pi(R^2-r^2)$

The area of running track can be expressed in mathematical form and it can be used as a formula in mathematics to find the area of any running track field. It can be derived easily in mathematical form when you understand the geometrical science behind the construction of a running track.

Geometrically, the shape of a running track is the combination of both rectangle and annulus. So, you first have to learn how to find the area of a rectangle and the area of a circular ring.

Now, let’s denote the various dimensions of running track field algebraically as follows.

- Denote the length of straight track lane by a letter $l$.
- Represent the width of straight track lane by a letter $w$.
- Denote the radius of the outer circular lane by a letter $R$.
- Represent the radius of the inner circular lane by a letter $r$.
- Denote the area of running track by a letter $A$.

The area of a running track is equal to the sum of two times the area of rectangular lane and the area of annulus lane.

$A \,=\, 2lw+\pi(R^2-r^2)$

Learn how to derive a formula in algebraic form to find the area of a running track in mathematics.

A worksheet of list of math questions on finding the areas of running track fields for your practice with solutions to learn how to find the area of any running track mathematically.

Latest Math Topics

Aug 31, 2024

Aug 07, 2024

Jul 24, 2024

Dec 13, 2023

Latest Math Problems

Sep 04, 2024

Jan 30, 2024

Oct 15, 2023

Copyright © 2012 - 2023 Math Doubts, All Rights Reserved