List of All Circle Formulas

Here are list of all circle-related formulas:

where:

• r represents Radius
• θ represents Centre Angle (in degrees)
• π represents Mathematical Constant pi

What is Perimeter a Semi-Circle Formula?

A semicircle’s perimeter is the distance measured around its curving edge. To calculate the perimeter, add the curved component (half the circumference of a full circle) and the straight part (the diameter of the semicircle). The perimeter (P) of a semicircle may be calculated using the following formula:

P = (π×r + d)

where,

• π represents Mathematical constant pi
• r represents Radius of Circle
• d represents Diameter of Circle

In simple terms, the perimeter of a semicircle is calculated by adding half of the circumference (the curved section) to the diameter.

What is Diameter of Circle Formula?

The formula for calculating a circle’s diameter is simple: it is equal to twice the radius. So, if you know the radius (the distance from the centre of the circle to any point on its perimeter), you may calculate the diameter by multiplying it by two.

Diameter (D) = 2 × Radius (r)

where,

• r represents Radius of Circle
• d represents Diameter of Circle

This formula is useful for calculating the diameter of a circle, which is the distance across it that passes through its centre.

What is Perimeter of Circle Formula?

Perimeter of a circle, also known as the circumference, represents the whole length of its border. To calculate the perimeter (C) of a circle, use the formula:

C = 2 × π × r

where,

• r represents Radius of Circle
• π represents Mathematical constant pi
• c represent Circumference of Circle

This formula states that to calculate the perimeter of a circle, multiply the radius by two and then multiply the result by the constant pi. This calculates the total distance around the circle’s boundary.

How to Calculate Radius Using Circle Formula?

To determine the radius of a circle using the circle formula, you must first know its diameter. If you know the diameter (D) of the circle, just divide it by 2 to get the radius. Here’s how you can accomplish it:

r = D/2

where,

• r represents Radius of Circle
• D represents Diameter of Circle

These formulae allow you to compute the radius of a circle based on the diameter. Once you know the radius, you may use it to solve circle-related issues and do other mathematical computations.

Circle formulas are basic formulas used in geometry to solve various problems of circles and are used in solving various mathematical and other problems. Before moving with various circle formulas one must familiarise with the basic definition of a circle. “A circle is a basic geometrical shape in which all points on the circumference of the circle are equidistant from the centre of the circle.”

In this article, we will learn about various circle formulas their uses and others in detail.