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 =
r =
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 =
r =
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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