For a circle with radius ‘r’ and circumference ‘C’: Where 'r' is the radius of the circle and π is the mathematical constant whose value is approximated to 3.14 or 22/7. The circumference can be measured by using the given formula: The below-given figure helps you visualize the same. The length of the rope that wraps around the circle's boundary perfectly will be equal to its circumference. This means that the perimeter of a circle is also referred to as its circumference. If the diameter of a circle is known, its radius can be calculated as: r = d/2 or R = D/2.Ĭircumference: The circumference of the circle is equal to the length of its boundary. It is represented by the letter 'd' or 'D'.ĭiameter formula: The diameter formula of a circle is twice its radius. Radius plays an important role in the formula for the area and circumference of a circle, which we will learn later.ĭiameter: A line that passes through the center and its endpoints lie on the circle is called the diameter of a circle. It is represented by the letter 'r' or 'R'. Radius: The distance from the center to a point on the boundary is called the radius of a circle. The measure of the space or region enclosed inside the circle is known as the area of the circle. We see circles in everyday life such as a wheel, pizzas, a circular ground, etc. A circle is a collection of points that are at a fixed distance from the center of the circle. Let us recall the circle and its parts before learning about area of circle in detail. 1.ĭifferences Between Area and Circumference of a Circle Let us learn in detail about the area of a circle, surface area, and its circumference with examples. A circle only has an area and perimeter/circumference. A circle is a two-dimensional shape, it does not have volume. Does a circle have volume? No, a circle doesn't have a volume. Suppose, if you have a circular table, then the area formula will help us to know how much cloth is needed to cover it completely.

The area of a circle formula is useful for measuring the region occupied by a circular field or a plot. The unit of area is the square unit, for example, m 2, cm 2, in 2, etc. The formula for the area of a circle is A = πr 2, where r is the radius of the circle. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The area of a circle is the space occupied by the circle in a two-dimensional plane.

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