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Is the area of a circle of radius 14 units equal to the surface area of a sphere of radius 7 units?
surface_area_sphere = 4 × π × radius_sphere² = π × (2 × radius_sphere)²
area_circle = π × radius_circle²
These are equal when:
π × radius_circle² = π × (2 × radius_sphere)²
→ radius_circle² = (2 × radius_sphere)²
→ radius_circle = 2 × radius_sphere
As the given circle has a radius of 14 units and the given sphere has a radius of 7 units, and 14 = 2 × 7, it is true that the area of a circle with a radius of 14 units is the same as the surface area of a sphere with a radius of 7 units.
What else can I help you with?
The area of a circle of radius 12 units is equal to the surface area of a sphere of radius 6 units?
True... Good luck with Apex :)
All points are a equal distance from the center?
It is the radius of a circle or of a sphere
The surface area of a sphere can be approximated as follows Surface area 4 and pir2 where r is the radius of the sphere and pi is a constant that is roughly equal to 3. Using the simple?
48m2
What is the formula for radius of sphere?
The radius of a sphere is equal to one-half the diameter. If the volume of the sphere is known, then the radius (r) is equal to the cube root of 3/4 of (Volume/pi).
How do you find the height of a sphere when you have the radius?
Visual Aid: If you sliced the sphere right in the middle, along the vertical axis (up and down axis), you'd end up with a circle standing on the ground. The "height", or highest point, of the circle of the circle would be equal to it's diameter (d).d = 2r, where r is the radius
The area of a circle of radius 10 units is equal to the surface area of a sphere of radius 5 units?
true
The area of a circle of radius 10 units is equal to the surface area of a sphere of radius 5 units.?
true
The area of a circle of radius 12 units is equal to the surface area of a sphere of radius 6 units?
True... Good luck with Apex :)
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.
Suppose the sphere below with radius r has a surface area equal to 50 units2 Find the surface area of the sphere with twice the radius?
The surface area of the sphere with the radius doubled is 200 units2.---> Confirmed
Suppose the sphere below with radius r has a surface area equal to 40 units2 Find the surface area of the sphere with twice the radius?
160
All points are a equal distance from the center?
It is the radius of a circle or of a sphere
What is radius of curvature of spherical surface?
The radius of curvature of a spherical surface is the radius of the sphere from which the surface is derived. It is defined as the distance from the center of the sphere to the surface at any point. For a perfect sphere, the radius of curvature is constant and equal to the sphere's radius. This concept is crucial in optics and geometry, as it helps determine how light rays behave when they encounter curved surfaces.
Find the surface area of sphere in terms of radius?
The surface area of a sphere is equal to 4 x Pi x radius2
What does the radius of a sphere?
The radius of a sphere is equal distance from the center of the sphere to all points within the sphere.
What is small circle?
A small circle, in geometry, refers to a circle with a radius that is smaller than a larger reference circle, often used in discussions about spherical geometry or in the context of navigation and mapping. It is defined as the intersection of a sphere with a plane that does not pass through the center of the sphere. Unlike great circles, which divide a sphere into two equal halves, small circles do not represent the shortest path between points on the sphere's surface.
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.
