CAT 2018 Geometry & Mensuration Question (Hard)

Question

In a circle, two parallel chords on the same side of a diameter have lengths 4 cm and 6 cm. If the distance between these chords is 1 cm, then the radius of the circle, in cm, is

Accepted Answer

Step 1 Let the radius of the circle be . Draw the diameter perpendicular to both chords. Since the chords are parallel and lie on the same side of the diameter, draw perpendiculars from the center of the circle to both chords. These perpendiculars will bisect the chords. Step 2 The shorter chord has

CAT 2018

Quantitative

Geometry & Mensuration

Hard

In a circle, two parallel chords on the same side of a diameter have lengths 4 cm and 6 cm. If the distance between these chords is 1 cm, then the radius of the circle, in cm, is

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