Brilio.net – Since childhood we have been introduced to various forms of objects around us. For example, a square, triangle, rectangle, or round object.
Well, in mathematical calculations, objects with a round shape are generally known as balls. A spherical surface is a set of points that are equidistant from a central point in three-dimensional space. The surface of the ball is also referred to as the skin of the ball or the blanket of the ball.
It could be said that the surface of a ball is a two-dimensional geometric object that forms the boundary of a ball, namely a three-dimensional space consisting of points that are less than or equal to the radius from the center point.
Calculating the formula for the surface area of a ball is not too difficult. You only need to understand the concept of the formula then it will be easier to answer questions about the surface area of a ball.
The following is how to calculate the formula for the surface area of a ball and examples of questions, which were reported by brilio.net from various sources, Monday (4/9).
Understanding the formula for the surface area of a ball.
It can be observed that in image (a) it shows a semicircular shape which, if rotated until one full rotation or 360 degrees, from point A to B, B to A, results in the round shape shown in image (b). This circle is known as the surface of a sphere.
The surface of a ball is the outer part of a three-dimensional object called a ball or sphere. The surface of a sphere is a flat plane or curve that surrounds a sphere and consists of all points around the sphere that are the same distance from its center point. In other words, the surface of a sphere is the “layer” or “skin” of the sphere that makes up its boundaries or edges.
The characteristics of the ball surface are as follows:
1. All Points Are Equidistant:
From the center of the sphere to every point on its surface, the distance is the same. This means every point on the surface of the sphere is a distance equal to the radius of the sphere.
2. Infinite Field
The surface of a sphere is an infinite and continuous plane. You cannot point to an end point on the surface of a sphere because every point on the sphere has a point parallel to it on the surface.
3. Two-Dimensional Plane
Although a ball is a three-dimensional object, the surface of a ball is a two-dimensional flat plane that encloses the ball.
In mathematics, the surface area of a sphere can be calculated using the following formula:
Surface Area of a Sphere = 4πr²
– “Surface Area of a Ball” is the total area of the surface of a ball.
– “π” is pi (approximately 3.14159).
– “r” is the radius of the ball, that is, the distance from the center of the ball to any point on its surface.