The area of any geometric property is the space inside the figure. In either of these double grids, this area is the zone that encompasses the shape. The area of a circle is the area covered or encompassed with its circumference. It is premised upon square measurement systems. Now we’ll examine the circumference of a circle. This equation is defined as the region encompassed by one closed loop of its radius on a two-dimensional plane. How can we compute the area of any circular object or phenomenon now? In this scenario, we’ll employ the equation for determining the same.
Let’s have a look – Components of a Circle
1. Radius
The circle’s radius is described as the line connecting the circle’s core toward its outer periphery. ‘r’ or ‘R’ is widely used to represent it. The radius of a circle plays an integral role throughout the computation by its area as well as circumference.
2. Diameter
The boundary which partitions the circle into two equal sections is defined as the diameter. It is just the double of the circle’s radius, and it is symbolized by the characters ‘d’ or ‘D.’ Therefore,
d = 2r or D = 2R
We can approximate the radius of a circle if we know its diameter, for instance:
r = d/2 or R = D/2
Area of a Circle – Formula
The radius of a circle is the length between both the center point and the circle’s rim. The area of the whole circle, A, is then directly proportional to the product of pi and the radius cubed. It is furnished by;
Area of a Circle, A = πr2 square units
The radius is r, and the value of pi is 22/7 or 3.14.
What is Circumference?
The length of the demarcation line determines the perimeter of a closed figure. It’s termed as the circle’s “Circumference.” The inner diameter is the length of its perimeter. The perimeter is the length of the horizontal path obtained whenever the circle is dilated to construct a linear model. Knowledge of a phenomenon known as ‘pi’ is required to identify the radius of the circle.
The length of the circle’s edge is equal to its perimeter. The circumference of a rope that properly wraps around its boundary is equal to its length, which may be calculated using the formula:
2r units = circumference / perimeter
where r is the circle’s radius, sometimes known as ‘pi,’ is the ratio of a circle’s circumference to its diameter. For each circle, the ratio is the same. Consider the radius ‘r’ and the circumference ‘C’ of a circle. For the purpose of this circle. To know more about the area of a circle or circumference, you can visit the Cuemath website.
Examples
Up to this point, we’ve examined the area, perimeter, circumference, radius, and diameter of a circle. To fully visualize the notions of area and perimeter, let’s all tackle some equations using such formulae.
Example 1 ) What is the radius of a circle with a 314.159 sq.cm surface area?
Solution:
We determine it from the formula for the circle’s surface area:
A = x r2 is a procedure for determining the area of a circle.
Now substitute the value with:
r2 = x 314.159
r2 = 314.159
314.159/3.14 is the r2 value.
100.05 is the r2 value.
r = 100.05 r = 100.05 r = 1000.05 r = 1000.05
r = 10 cm
Example 2) If the radius is 7 cm, estimate the circumference and area of the circle.
Solution: Radius (r = 7 cm) is given.
The circumference/perimeter of the circle is 2r cm, as we know.
Simply replacing the radius value yields
C = 2 × (22/7)× 7
C = 2×22
C = 44 cm
As a consequence, the circle’s circumference is 44 cm.
The radius of the circle is now r2 cm2.
A = (22/7) × 7 × 7
A = 22 × 7
A = 154 cm2
