how to measure diameter of a circle

A circle is a simple shape of Euclidean geometry consisting of those points in a plane which is equidistant from a given point called the center. The common distance of the points of a circle from its center is called its radius. Circles are simple closed curves which divide the plane into two regions, an interior and an exterior. The way of measuring the diameter of the circle is nothing but finding the diameter of the circle.



(Source: Wikipedia)

I like to share this Diameter of a Circle Formula with you all through my article.

(i) How to measure diameter of a circle - from circumference of the circle

We know that the circumference of the circle, c = `pi` d

Where, d is the diameter of the circle.

Therefore, d = `c / pi`

(ii) How to measure diameter of a circle - from diameter of the circle:

Area of the circle, a = `pi /4 d^2`

Diameter of the circle, d = 2  `sqrt(a / pi)`

Example problems for “How to measure diameter of a circle”:

1. Find the diameter of the circle of circumference 50 cm

Solution:

Let c = 50cm

To find: Diameter of circle, d

Formula:

d = `c /pi`

Substitution of values:

d = `50 / pi`

= 15.92 cm

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2. Find the diameter of the circle of area 50 cm

Solution:

Let a = 50cm

To find: Diameter of circle, d

Formula:

d = 2  `sqrt(a / pi)`

Substitution of values:

d = 2  `sqrt(50 / pi)`

= 2 `sqrt(15.92)`

= 7.98 cm

3.Find the diameter of the circle of area 25 cm

Solution:

Let a = 25cm

To find: Diameter of circle, d

Formula:

d = 2  `sqrt(a / pi)`

Substitution of values:

d = 2  `sqrt(25 / pi)`

= 2 `sqrt(7.96)`

= 5.64 cm

Practice problems for “How to measure diameter of a circle”

1. Find the diameter of the circle of circumference 7cm
2. Find the diameter of the circle of circumference 22 cm

Solution for practice problems for “How to measure diameter of a circle”:

1. 22 cm
2. 14 cm