CBSEJEEClass 9
What is the diameter of a circle?
Answer
The diameter of a circle is a chord that passes through the centre, and it equals twice the radius.
The working
Definition
The diameter is a straight line segment through the centre with both endpoints on the circle. It is the longest chord of the circle.
Relation to radius
The diameter is twice the radius, so d = 2r, and conversely the radius r = d ÷ 2.
Link to circumference
The circumference relates to the diameter by C = πd, since π is the ratio of circumference to diameter.
Example
A circle of radius 5 cm has diameter d = 2 × 5 = 10 cm.
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