# Great Circle Formula

## Great Circle Formula

The Great Circle Formula is the biggest circle that can be drawn on the surface of the sphere. The Great Circle distance is the shortest distance between any two places on the surface of the sphere. The Great Circle Formula has also been referred to historically as an Orthodrome or a Romanian Circle.

The Great Circle Formula is an important Mathematical concept. The technique of counting, measuring, and describing the shapes of objects evolved into Mathematics, or the science of structural relationship and order, which is a rational field of study. Additionally, mathematical calculation and logical reasoning are covered. The study of Mathematics is now referred to as “Mathematics” in simple terms. In both academic and practical contexts, mathematical theories assist students in comprehending and resolving a wide variety of issues. Solving mathematical puzzles is probably the best brain exercise.

As Mathematics has developed, its subject matter has become more structured and logically organised. Mathematicians have been studying the topic for ages in a variety of cultures. The widely acknowledged father of Mathematics is Archimedes (287–212 BC). He created formulas for figuring out how much a solid’s volume and surface area weigh. The Father of Indian Mathematics is a man by the name of Aryabhatt, who was born in 476 CE.

Since the 17th century, Mathematics has played a significant role in both Technology and the Physical Sciences. Recently, it has been predicted that Mathematics will also play a similar role in the quantitative aspects of the Life Sciences.

The Pythagoreans were the first people to study Mathematics as a “demonstrative science” in the sixth century BC. The Greek word “mathema,” which means “educational material,” is where the name “Mathematics” originates. Another mathematician named Euclid was responsible for the development of axioms, theorems, proofs, and postulates. Modern Mathematics still makes extensive use of these ideas.

Using the materials offered by Extramarks, students from all classes can prepare for Mathematics. Extramarks offers study resources for classes 1 through 12, covering all subject areas. On their website and mobile application, Extramarks makes all of their resources available for download in PDF format. The solutions provided by Extramarks will aid in their comprehension of the idea. The Extramarks-provided solutions must be used by students because they are written step-by-step. The resources provided by Extramarks make it simple for students to review crucial concepts.

## What is the Great Circle Formula?

On a sphere’s surface, the great circle is the biggest circle that can be created. A Great Circle Formula is a segment of a sphere that encompasses its diameter, and the great circle distance is the separation between any two locations on the surface of the sphere that is shortest. The Romanian Circle is another name for the big circle. The navigation of ships and aircraft is one of the few situations in which the great circle formula is applied. The Great Circle Formula aids in navigation by letting us know the shortest distance within the sphere given that we are aware that the Earth is roughly spherical.

### Examples Using Great Circle Formula

Examples are the best way to understand and practise any concept. Therefore, students must read and solve all example questions on the Great Circle Formula. If they face any difficulties in understanding the example questions they can revisit the resources provided by Extramarks. Extramarks’ solutions will also help students to retain important information like formulas and theorems.