![]() ![]() Taking out the value of r from here and putting in the area of a circle formula, we get, The circumference of a circle definition is the boundary of the circle, denoted by 2□r, where r is the radius of the circle. This is the area of a circle in terms of diameter.Īrea of Circle Formula in terms of Circumference From the area of the circle □r 2, putting the value of r in terms of d, we get, A = □ (d/2) 2 = □/4 d 2. The diameter is double the radius, i.e., we can write diameter = 2 x radius. Area of Circle formula in terms of Diameter Hence, any circle’s surface area will be the same as the area of the circle, i.e., □r 2. And this surface area is the same as the area of a circle. However, to find the area of the sphere that is needed to be placed somewhere can be found by the surface area. Since the surface area is the property of a three-dimensional figure, the two-dimension circle does not have a surface area like that of the sphere. Then what about its surface area? Surface Area of a Circle: 2D version of a Circle After area, does the circle have volume? Since a circle is a two-dimensional figure, it does not possess volume. So if we need to place a circular disc in the cupboard, we need to find the area, i.e., how much space will be needed. Area defines the space required to keep the object in a particular place. The circular table will have an area, the circular plate will have an area, the ball will have an area, and like this, many more objects will have a circular area. Whatever the unit of the radius, diameter, or circumference, the same will be for the area of the circle but in terms of squares. The area of the circle is measured in terms of square units. It is one of the widely used mathematical constants. Pi is the ratio of the circumference to the diameter of a circle. The value of □, pronounced pi, is 22/7 or 3.14. The formula for the area of a circle is given by □r 2, where r is the radius of the circle. ![]() How is the circle area related to these parts of the circle? What is the formula for the area of a circle? Area of Circle Formula Therefore, a part of the circle cut through the center, making a specific angle with the center known as a sector. Have you ever eaten a slice of pizza? What did you observe? That slice is a part of the circular pizza, separated across the center. From this, one can conclude that the more extended chord present in the circle will be the circle’s diameter.Ī circle can possess an infinite number of chords, diameters, and radii. ![]() A chord is a line drawn from one periphery to the other periphery of the circle without crossing the center. Then, the diameter will no longer be the diameter. What do we say if the diameter does not pass through the center? Half of this diameter is known as the radius. The line drawn from one end of the circle touching the periphery to the other edge across the center of the circle is known as the circle’s diameter. The midpoint inside any circle is its center. Do you know about the parts of a circle? And how is the area related to them? How do you calculate the area of a circle? Different Parts of the Circle The circle’s boundary is known as its perimeter or the circumference, while the area bounded by its boundaries is known as the area. A circle is a two-dimensional shape whose locus is equidistant from the circle’s center. For example, our Earth is a flat circle the moon is a gigantic circle your dog might be playing with a circular ball, and much more. Circles can be witnessed from micro to macro-objects around us. ![]()
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