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You are here: Home / Archives for how to find the Diameter of a circle when circumference is given

how to find the Diameter of a circle when circumference is given

find diameter from circumference

Arinjay Academy / August 22, 2018

Find Diameter from Circumference

Diameter of the circle

A line segment which passes through the center of a circle, and both of whose endpoints lie on the circumference of the circle is called the Diameter of a circle.
Diameter of circle is equal to twice of the length of its radius.
Diameter of the circle = 2r

Circumference of the circle

Circumference of a circle is the measure of the length of the circle.
Circumference of the circle = 2πr 

Questions Based on Finding Diameter of a circle when circumference is given

Question 1

Find the diameter of the circle whose circumference is 44 cm?

Explanation

Let, the radius of the given circle be r cm

As we know that,

Circumference of the circle = 2πr cm

Given,

Circumference of a cicle = 44cm

Therefore,

2πr = 44 (from above)

r = \cfrac{ 44 }{ 2\pi}

r = \cfrac{44 \times 7 }{2 \times 22 }

r = 7cm

Diameter of the circle = 2r

                                        = (2 x 7)cm

                                        = 14cm

Hence, the Diameter of the circle is 14 cm

 

Question 2

Find the diameter of the circle whose circumference is 132 cm?

Explanation

Let, the radius of the given circle be r cm

As we know that,

Circumference of the circle = 2πr cm

Given,

Circumference of a cicle = 132cm

Therefore,

2πr = 132 (from above)

r = \cfrac{ 132 }{ 2\pi}

r = \cfrac{132 \times 7 }{2 \times 22 }

r = 21cm

Diameter of the circle = 2r

                                        = (2 x 21)cm

                                        = 42cm

Hence, the Diameter of the circle is 42 cm

Learn More…

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Perimeter of regular decagon
Area of Rectangle
Area of Square
Circumference of a Circle
 
Finding Radius of a circle when circumference is given
Finding Perimeter of Rectangle when Area & Breadth given
Finding Perimeter of Rectangle when Area & Length given
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Find the cost of fencing of a rectangular field
Find the cost of carpeting the room

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