Geometryhard · Past Paper
In a circle, the distance between two parallel chords of length 6 cm and 8 cm is 1 cm. What is the radius?
A3 cm
B4 cm
C5 cm
D7 cm
✓ Correct Answer: C — 5 cm
Let distance from center to 8cm chord be x. x^2 + 4^2 = r^2 and (x+1)^2 + 3^2 = r^2. x^2 + 16 = x^2 + 2x + 1 + 9 => 2x = 6 => x = 3. r = sqrt(3^2+4^2) = 5.
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