Question
Download Solution PDFRadius of a circle is 5 cm. Length of chord AB in this circle is 6 cm. What is the distance of this chord from the centre of the circle?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Radius of a circle is 5 cm.
Length of chord AB in this circle is 6 cm.
Calculation:
Let OB be the radius of the circle and OD be the distance from the center to the chord AB
Now, We know altitude from the center of a circle to its chord bisect the chord
OB2 = BD2 + OD2
⇒ 52 = 32 + OD2
⇒ 25 = 9 + OD2
⇒ OD2 = 16
⇒ OD = 4
∴ The distance of this chord from the centre of the circle is 4 cm.
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