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Find the surface area of a sphere with a great circle radius of 50?
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∙ 13y ago
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∙ 13y ago
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What lies on a sphere and divides the sphere into two hemispheres?
An equator is a circle that divides the surface of an object into two equal halves. The term is usually used to explain the circle that divides a plane,t like the Earth, in to two hemispheres.
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.
Solid whose surface area is 4pie times the area squared?
The surface area of the 'sphere' is four times the area of a 'great circle',or (4 pi) times the RADIUS squared.
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.
What is the largest circle that can be drawn around a sphere such as a globe?
That's called a "great circle" of the sphere. -- It's any circle whose center is at the center of the sphere. -- Its diameter is equal to the diameter of the sphere. -- Its area is equal to 1/4 the surface area of the sphere. -- The shortest distance between any two points on the sphere is along the piece of the great circle on which they lie. (There's only one, unless the two points are the opposite ends of a diameter.)
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.
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.
The radius of one sphere is the radius of one sphere is twice as great as the radius of a second sphere. a. Find the ratio of their surface areas.?
bidyogammes
What lies on a sphere and divides the sphere into two hemispheres?
An equator is a circle that divides the surface of an object into two equal halves. The term is usually used to explain the circle that divides a plane,t like the Earth, in to two hemispheres.
What is the surface area of a sphere whose great circle has a circumference of 40pi?
The great circle has circumference 40pi and we know circumference is 2pixr so 20 is the radius of the sphere. Now use this and the formula that surface area is 4pir^2 so the surface are is 4pi(20)^2. or pi(1600)
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.
Solid whose surface area is 4pie times the area squared?
The surface area of the 'sphere' is four times the area of a 'great circle',or (4 pi) times the RADIUS squared.
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.
What is difference between great circle and small circle?
A "great circle" is any circle on a sphere whose center is also the center of the sphere. The shortest distance between two points on the surface of a sphere is a piece of the great circle on which both points lie. A "small circle" is any circle on the sphere that's not a 'great' 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.
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.
