Surface Area of a Sphere Calculator
Undoubtedly, a sphere is one of the simplest figures in geometrical Mathematics. But it can be difficult to solve this figure sometimes when you have complex values or don’t know how to perform a calculation. The main reason behind such events is that you may not know the formula to perform a calculation or don’t have enough skills to do so.
If you are not familiar with the calculation of the surface area method of a sphere, you should use this online maths calculator. This surface area of a sphere calculator has been programmed for performing this calculation only. You can easily find the surface area using the measurement of the radius of that sphere. Simply, insert the measure of radius and it will display the surface area of that sphere.
Table of Contents
What is the surface area?
t is the region/area that is bounded by the boundaries of any closed figure, shape, or object. In simple words, if you place an object on the table, the region that is covered by its boundaries in all directions will be called it's surface area.
For example, if you have a cube that you place on the table, it will cover some region in all three dimensions. That particular region will be called it's surface area as it covers the space and region by its boundaries.
What is the surface area of the sphere?
Before you learn about the surface area of a sphere, you should need to know what this figure is. A sphere is a 3D hollow round shape like a circle that is equidistant in all dimensions from a fixed point.
In simple words, all points on the boundary of a sphere will be equidistant from a fixed point that we call its center. Like a circle, it has a specific center, radius, and other related measures. The surface area of a sphere is the region that it covers under its boundaries.
We can cut it down into two equal parts from its central axis that we call a hemisphere which means similar to a sphere. In practical life, many professional as well as daily routine problems can be solved using this specific figure and its surface area calculation. A Sphere is one of those shapes in geometry that cover the maximum area under its boundaries.
What is the area of a sphere formula?
Like all other geometrical figures, a sphere also has particular formulas using which you can find the related measurements. For example, you can find the surface area of a sphere easily using a specific formula. Here is the formula that you can use for this calculation.
Surface area of a sphere = 4𝝿r2 square units
Here, “r” represents the radius of the sphere while “𝝿” is a specific constant that has a fixed value i.e. 3.14.
How to find the surface area of a sphere?
Finding the surface area of a sphere isn’t a difficult task if you have simple values. You only have to add those given measurements in the above formula and perform the concerned calculation. Still confused? Don’t worry we have shared an example here for better understanding.
Example 1:
Find the surface area of a sphere if the measure of its radius is 7m.
Solution:
As we know,
The surface area of a sphere = 4𝝿r2 sq. unit
So,
= 4 (3.14) (7)2 sq. m
= 201.06 sq. meter
How to use the surface area of a sphere calculator?
In case you have a complex or decimal value of the radius, you may not be able to find the surface area of a sphere through a manual approach. But you can make the process simpler and more accurate using this tool by Calculator’s Bag. Here are the simple steps that you have to follow in this regard,
- Insert the measure or radius in the input box.
- This calculator will automatically display the value of the surface area of a sphere.
FAQ | Surface Area of a Sphere Calculator
Why is the area of a sphere 4πr(square)?
Studies have shown that the surface area of a sphere is 4 times the surface area of a circle with the same radius measurement. That’s why it is calculated using 4πr(square).
What are the surface area and volume of the sphere?
The surface area and volume of a sphere are given by,
Surface area = 4𝝿r2
Volume = 4/3𝝿r3
Why is the volume of a sphere 4/3?
The entire sphere can be divided into four equal parts vertically and horizontally at the central axis. As the volume involves 3 dimensions, that’s why the volume of the sphere is calculated in 4/3.
How do you find the volume and surface area of a sphere of radius A?
If the radius of a sphere is A, then its surface area and volume can be calculated using through following formulas,
Surface area = 4𝝿A2
Volume = 4/3𝝿A3
What is the surface area of a sphere calculator?
The surface area of a sphere calculator is an online tool that has been programmed to calculate this measurement quickly, easily, and with accuracy.
What is the difference between the surface area and volume of a sphere?
The surface area of a sphere is the measure that belongs to 2 dimensions while the volume belongs to 3 dimensions.
