# What Is A Great Circle In Geometry?

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## What Is A Great Circle In Geometry?

A great circle is the largest possible circle that can be drawn around a sphere. All spheres have great circles. … If you cut a sphere at one of its great circles you’d cut it exactly in half. A great circle has the same circumference or outer boundary and the same center point as its sphere.

## What forms the great circle?

A great circle is created by any line that slices through the center of a sphere. Great circles on Earth are roughly 40 000 kilometers (24 855 miles) all the way around. … The Equator is around 40 075 kilometers (24 901 miles) in circumference.

## What are great circles and small circles?

A Great Circle is a plane that passes through the center of the earth. … The shortest distance between any two points on the earth’s surface is attained along the arc of a Great Circle. Small Circles are lines that do not pass through the center of the earth. All Parallels other than the Equator are Small Circles.

## What is meant by great circle route?

great circle route the shortest course between two points on the surface of a sphere. It lies in a plane that intersects the sphere’s centre and was known by mathematicians before the time of Columbus. … Navigational radio signals also follow great circle paths.

## How do you find a great circle?

As we know the Earth is somewhat spherical the great circle formula helps in navigating as we come to know for the shortest distance in the sphere.

What is the Great Circle Formula?
1. r = Radius of the earth.
2. a b= Latitude.
3. x y = Longitude.

## What is the value of the great circle?

Thus a great circle divides the globe into two equal halves. Since they must follow the circumference of the Earth to divide it great circles are about 40 000 kilometers (24 854 miles) in length along meridians.

## What are the main characteristics of the great circle?

The main characteristics of a Great Circle are:
• A Great Circle is the largest circle that can be drawn on the surface of the Earth.
• Many numbers of Great Circles can be drawn on the surface of the Earth.
• All Great Circles divide the Earth into two hemispheres.

## Why is it called the great circle?

Any circle that circumnavigates the Earth and passes through the centre of the Earth is called a great circle. The lines that do not pass through the centre of the earth are the small circles. … Thus a great circle always splits the Earth into two halves so that the Equator is a great circle.

## How many great circles are there on Earth?

There are an infinite number of great circles that can be drawn on any perfect sphere. The longitude lines on a globe all form great circles that pass through the same two points (the North Pole and the South Pole). The Equator is another great circle.

## Is the Tropic of Capricorn a great circle?

Any circle that passes through two points that are opposite each other on a sphere. … The Equator is a great circle but the Tropics of Cancer and Capricorn are not (they are smaller than the Equator). And the Arctic and Antarctic Circles are even smaller than the Tropics and definitely not great circles.

## What is a great circle which parallel of latitude is a great circle?

The Equator

The Equator is the longest circle of latitude and is the only circle of latitude which also is a great circle.

## How do you plot a great circle?

To plot a great circle track on a Mercator chart the navigator joins his point of departure and his point of arrival by a straight line drawn on a gnomonic chart and then transfers a series of positions on this straight line—read off in latitude and longitude—to his Mercator chart.

## How does a great circle route work?

Planes travel along the shortest route in 3-dimensional space. This route is called a geodesic or great circle. While map projections distort these routes confusing passengers the great circle path is the shortest path between two far locations. This is why pilots fly polar routes saving time and distance.

## Is a great circle infinite?

A line is the shortest path between two points. … A straight line is infinite. 3. A great circle is finite and returns to its original starting point.

## What is a great circle for Class 6?

Great circle: The Equator is known as the great circle as it is the largest circle that can be drawn on the globe. This is because the equatorial diameter of the Earth is the largest.

## Which of the following is true about great circle?

(1) Great Circle is an imaginary circle which divides the Earth into two equal hemispheres. (2) Equator is the only Great Circle which can be drawn on the Earth’s surface. (3) An arc of a Great Circle on the surface of the Earth marks the shortest distance between two points on the Earth.

## What do you call to the great circle that is halfway between the northern and southern hemisphere?

The Equator
The Equator is an imaginary line around the middle of the Earth. It is halfway between the North and South Poles and divides the Earth into the Northern and Southern Hemispheres.Sep 6 2011

## What is a great circle answer?

A great circle is the largest possible circle that can be drawn around a sphere. All spheres have great circles. If you cut a sphere at one of its great circles you’d cut it exactly in half. A great circle has the same circumference or outer boundary and the same center point as its sphere.

## What is the other name of the great circle?

A great circle also known as an orthodrome of a sphere is the intersection of the sphere and a plane that passes through the center point of the sphere. A great circle is the largest circle that can be drawn on any given sphere.

## What are the 5 great circles?

The five major circles of latitude are starting from the North Pole and finishing at the South Pole the Arctic Circle the Tropic of Cancer the Equator the Tropic of Capricorn and the Antarctic Circle.

## What is the great circle area?

A great circle is a circle that has the same center and radius as its sphere. … The great circle (with area πr2 obv) covers about a fourth of the sphere. Actually it covers exactly a fourth of the sphere. That means our surface area for the entire sphere is four times the area of the great circle.

## What is a great circle Brainly?

Answer: A great circle is defined as any circle drawn on a globe with a center that includes the center of the globe. A great circle divides the globe into two equal halves.In addition great circles represent the shortest distance between two points anywhere on the Earth’s surface.

## What is the biggest circle on the globe?

The biggest circle of the globe is an equator. As the equator passes through the centre of the earth it is considered as the largest circle of the earth.

## Where is the Antarctic Circle?

Antarctic Circle parallel or line of latitude around the Earth at 66°30′ S.

## What is the great circle route mention its two importance?

1)All meridians of longitude are great circles. Great circle are of importance to navigation and aviation. 2)The shortest route between any two places is along the arc of the great circle which passes through them.

## Why are great circles the shortest path?

(iii) Great Circles are the shortest routes between two places as we can connect any two places on the earth’s surface by the curvature line of the great circle. And this curvature is the smallest possible route between those two places because this curvature directly connects those places or points.

## What is a semi great circle?

A semi-great circle on S is a semicircle consisting of half of a great circle on S.

## What is a great circle class 9?

Answer: A great circle is any circle that divides the earth into a circumference of two equal halves.

## What do you call the latitude between Tropic of Capricorn and Antarctic Circle?

The portion of the Earth between the two “tropics” is called the Torrid Zone – the region of perpetual summer. … Between the Arctic Circle and the Tropic of Cancer is the North Temperate Zone and its southern companion the South Temperate Zone lies between the Tropic of Capricorn and the Antarctic Circle.

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