Question
Download Solution PDFA 5cm perpendicular line is drawn from the centre of the circle to a chord of length 24 cm. Find the diameter of the circle?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Perpendicular from center to chord = 5 cm
Chord length = 24 cm
Formula used:
In a circle, perpendicular from center to chord bisects the chord.
Use Pythagoras theorem: r2 = (half chord)2 + distance2
Calculation:
Half of chord = 24 / 2 = 12 cm
Let radius = r
⇒ r2 = 122 + 52 = 144 + 25 = 169
⇒ r = √169 = 13 cm
Diameter = 2 × r = 2 × 13 = 26 cm
∴ Diameter of the circle = 26 cm
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