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Find the circumference of the great circle if the volume of the sphere is 179.6 m Round to the nearest tenth?
21.99
What is isosceles spherical triangle?
It is the shape formed by three non-collinear points on the surface of a sphere which are joined together by straight lines in which two of the sides are of the same length. An example might be a triangle from the earth's North pole to two points on the same latitude - specially the equator.
What is the relation between sphere and cone?
The ancient Greek mathematician Archimedes proved that the volume of a sphere is four times that of the cone with base equal to a great circle of the sphere and height the radius of the sphere. Maybe this is what the poser of the question meant.
How many great circles are there on a sphere?
There are an infinite number. If you draw two great circles, no matter how close together they are, I can always draw a great circle ... or 2 or 3 or 10 ... between them.
Shortest distance between two points on the earth?
The two points and the centre of the earth define a plane, and the intersection of this plane with the surface of the earth is a circle - the "Great Circle". The shortest distance between the two points is the smaller of the two arcs on this circle.
What is called a great circle?
A great circle is any circle on the surface of a sphere whose center is at the center of the sphere. The shortest distance between two points on the surface of a sphere is a part of the great circle that passes through them.
What is difference between great circle and small circle?
A great circle is a circle on the surface of a sphere that has the same center as the sphere, while a small circle does not share the same center as the sphere. Great circles have the largest circumference of all circles on a sphere, whereas small circles have smaller circumferences. The equator is an example of a great circle on Earth, while lines of latitude other than the equator are examples of small circles.
How do you use great circle in a sentence?
A circle on the surface of a sphere that has the same radius as the sphere.
Does every great circle of a sphere have to pass through its center?
Let's be very careful here: The "great circle" of a sphere is a circle that lies on the surface ofthe sphere, so there's no way the great circle can "pass through" the sphere's center.However, in order for the circle to be a "great circle", its center must be the center of the sphere.
What is a great cicle?
Much bigger and better than a regular circle... But seriously, a great circle on a sphere is a circle that runs along the surface of that sphere and cuts it into two equal halves. It is the largest circle that can be drawn on a given sphere. The center of any great circle is the center of the sphere.
How to draw great circles and small circles drawn?
To draw a great circle on a sphere, start by defining the diameter as the largest circle that can be drawn on the sphere's surface. For small circles, choose a point on the sphere and draw a circle with that point as the center and the radius less than the sphere's radius. Remember that the center of a small circle lies outside the circle on a sphere's surface.
Find the circumference of the great circle if the volume of the sphere is 179.6 m Round to the nearest tenth?
21.99
What is a great circle in spherical geometry?
The great circle is the intersection of a sphere and any plane passing through its centre. Given two distinct points on the surface of a sphere, those two points and the centre of the sphere define a plane. [If one of the points is at the antipodes of the other, an infinite number of planes are defined.] The great circle is the circle formed when that plane meets the surface of the sphere.
Find the surface area of a sphere with a great circle radius of 50?
31,416 units2
What is the mathematical definition of great circle?
A great circle is defined as the largest possible circle that can be drawn on a sphere, resulting from the intersection of the sphere with a plane that passes through the sphere's center. It represents the shortest path between two points on the surface of the sphere, making it significant in navigation and geography. Examples of great circles include the equator and the longitudinal lines on a globe.
Is the center of a great circle also the center of a small circle?
No. Every circle on the sphere whose center is also the center of the sphere is a great circle. If the circle's center is not also the center of the sphere, then the circle is a small circle.
Why diametrically opposite lines of longitude and equator are called great circles?
A 'great circle' is any circle on the surface of a sphere that has its center at the center of the sphere. The equator is the only parallel of latitude that's a great circle. Every meridian of constant longitude is a semi-circle, and together with the one directly opposite it, they form a great circle. The shortest distance between two points on a sphere is the piece of the great circle through them.
