Question
Download Solution PDFA circle of diameter 26 cm has two equal parallel chords of length 10 cm each, then the distance between the two chords is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A circle of diameter 26 cm has two equal parallel chords of length 10 cm each.
Formula used:
Let the radius of the circle be R, and the distance of each chord from the center be d1 and d2.
Using the perpendicular distance formula from the center to a chord:
Calculations:
Radius (R) =
Half of chord length =
Distance from center to each chord (d1 and d2):
⇒
⇒
⇒ 12 cm
The distance between the two chords = 2 × 12 = 24 cm
∴ The correct answer is option 2.
Last updated on Jun 26, 2025
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