Question
Download Solution PDFThe length of the chord of a circle is 24 cm, and the perpendicular distance between the centre and the chord is 5 cm. The radius of the circle is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The length of the chord of a circle is 24 cm, and the perpendicular distance between the centre and the chord is 5 cm.
Concept used:
Chord Length Using Perpendicular Distance from the Center =
Calculation:
Let the radius of the circle be R.
Here,
AB = 24 cm long chord
OD = Perpendicular distance between the centre and chord
OB = Radius
According to the concept,
24 =
⇒ 12 =
⇒ 144 = R2 - 52
⇒ R2 = 169
⇒ R = 13
∴ The radius of the circle is 13 cm.
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