Diameter of circle how to#
How to find the area of a circle with diameter?įinding the radius is not always easy, especially if you don’t have the circle’s center.
![diameter of circle diameter of circle](https://www.kofastudy.com/kike_content/uploads/2021/03/circle-jss2-e1615032693129-768x768.png)
C represents the circle’s circumference in the first formula, also denoted as P. In the above figure, you can see two formulas. Now the circle’s circumference or perimeter would be precisely the rope’s length that wraps around the circle. The o is the center point of the circle, and r is the radius. To understand it better, take a look at the figure below: In other words, this is the arc length or boundary length of the circle if we straightened it out or open up in a line segment. The circle circumference is the perimeter of an elliptical or circular shape. If you don’t have the value of π, you can represent the area by 36πcm squared.Ī=113.04 How to find the circumference of a circle? If you multiply this number by π, you will get a total surface area of 113.04cm squared. Although the value of π can be simplified to 3.14 for specific calculations, it is better to use the exact amount on a calculator.įor example, if the radius of a circle is 6cm, then the squared radius would be 36cm. All you need to do is square the radius and multiply it with the Pi symbol. If you are given the radius of a circle, then finding the area is quite simple. How to find the area of a circle with a radius? So the formulas would look something like this: All of this indicates that both triangles and circles have equal areas. Now the height of a triangle is equal to the circle’s radius, while the triangle’s base is equal to its circumference. When we cut the circle in a straight line from the center of the circle and spread the concentric circle lines, it will form a triangle. This method requires us to create concentric circles within a circle with radius r. So, we haveĪ = πr2 (circle) Calculating circle area using triangles It means that area of the circle is equal to the area of a rectangle. The length of the rectangle would b equal to πr with a width equal to r.
![diameter of circle diameter of circle](https://i.pinimg.com/736x/28/91/f8/2891f8ee2cde69f8ed4edfdad6994e19--clipart-circles.jpg)
By increasing the number of the sectors cut from the circle, the parallelogram will change into a rectangle. The green highlighted sectors represent the circle’s half circumference while the other half of circumference is represented by blur highlighted ones. In this image, you can see 16 sectors, including 8 green and 8 blue ones. The circle’s area would be the same as the area of the parallelogram shape or rectangle. All sectors are similar in area, so hence all sectors’ arc length would be equal. The sectors are arranged in such a way that they form a rectangle. In this method, we divide the circle into 16 equal sectors. Let’s take a look at these two methods to understand the area of the circle better. Calculating circle area using triangles.Calculating circle area using rectangles.Two methods prove the formula of the area of the circle, known as: To remember the circle area formula, use the phrase ‘ pie are squared, but they are round.” Methods to derive the area of the circle: You can also calculate the radius by dividing the diameter by 2. It is the distance of any line from the center of the circle to the circle’s edge. “R” is used to represent the radius of the circle. It is a never-ending number that the Egyptians first discovered while calculating the area of a circle. The number that is used to balance the equation of any circle is represented as π.
![diameter of circle diameter of circle](http://i.ytimg.com/vi/aZi1rgsZs4s/maxresdefault.jpg)
Many students have question in minds that what is the formula for finding the area of a circle? So answer is very simple the formula for the area of a circle is A = πr2. How to find the area of a circle or what is the formula for finding the area of a circle In short, from designing a simple machine such as a clock to develop a complex nuclear reactor, circular calculations play a significant role. These circular measurements are also significant for engineers in designing airplanes, bicycles, rockets, etc. While most people think that formulas have no practical use, they are critical factors in many everyday life routines.Īrchitects use the symmetrical properties of a circle to design Ferris-wheels, buildings, athletic tracks, roundabouts, etc. Only a mathematician can genuinely understand the practical importance of formulas for calculating area, radius, diameter, or circle circumference. Practical applications for circle area calculations