Question
Download Solution PDFTwo circles having equal radius intersect each other such that each passes through the centre of the other. Length of the common chord is 24 cm, then what will be the diameter of each circle?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The length of common chrod is 24
Calculation:
According to the diagram,
AD = DB
Let,
O1O2 = 2x
Again O1A = O2A = 2x [Radius of the circle]
∠ADO1 = 90°
O1D = O2D = 2x/2 = x
12 = √(4x2 - x2)
x = 4√3
Radius = 2x = 8√3
Diameter = 8√3 × 2 = 16√3
∴ The diameter is 16√3 cm.
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