How to Find the Diameter of a Circle formula used for shot put and Discus throw marking

 

How to Find the Diameter of a Circle

The diameter of a circle can be calculated if the radius, circumference, or area is given. Follow the steps given below to find the diameter of a circle:

·         Step 1: The first step is to identify the parameters that are given in the question: radius,

 area, or circumference.

·         Step 2: Apply the appropriate formula from the three formulas discussed in the section

 given above.

·         Step 3: Simplify and get the answer.

Let us try using the formulas mentioned above in an example to find the diameter.

Observe the example given below.

Example: Find the diameter of the circle whose radius is 3 units.

Solution:

Given: Radius of the circle = 3 units

The diameter of the circle is = 2 × Radius

= 2 × 3 = 6 units

Therefore, the diameter of the circle is 6 units.

 Radius of curvature

1.      Radius of a circle which touches a curve at a given point and has the same tangent and curvature at that point.

2.       

                   

  

 FORMULA FOR DIAMETER

Diameter of a Circle Using Circumference

We can easily derive the diameter formula from the circumference. The formula for the circumference of a circle is C = πd; here, C = Circumference, d = Diameter of a circle,

π = 22/7 or 3.142 approx.

 The diameter formula using circumference is,

Diameter = Circumference ÷ π

Diameter of a Circle Using Radius

Radius is the length of the line segment from the center of the circle to an endpoint on the circle and diameter is twice the length of the radius of the circle. Using this definition, the formula for the diameter is D = Radius × 2.

Diameter Formula Using Area of Circle

We can derive the diameter of a circle formula using the area of the circle formula that is,

 area (A) = π(Radius)². By substituting the value of radius as D/2, we get, A/π = (D/2)²

⇒ D/2 = √(A/π)

⇒ D = 2 × √(A/π)

Hence, the diameter of the circle formula using area, D = 2√Area/π

 

Diameter	Radius
The diameter of a circle is twice its radius.	Radius is half of the length of the diameter.
For any circle, length of diameter > length of the radius.	The length of the radius is smaller than the diameter.
It starts from the boundary of the circle and ends at the boundary itself.	It starts from the center and touches the circle's circumference at a point.