A chord of length 48 cm is drawn at a distance of 7 cm from centre of the circle. Calculate the radius of the circle.
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Question

A chord of length 48 cm is drawn at a distance of 7 cm from centre of the circle. Calculate the radius of the circle.

KnowledgeBoat · Accepted Answer

From figure, AC is the chord and OB is the perpendicular distance of chord from the center. Length of the chord AC = 48 cm. B is the midpoint of AC, as OB is perpendicular to the chord AC. AB = AC = = 24 cm. In Δ OAB, ∠B = 90° Using Pythagoras theorem, ∴ OA2 = OB2 + AB2 ⇒ OA2 = (7)2 + 242 ⇒ OA2 = 49 + 576 ⇒ OA2 = 625 ⇒ OA = = 25 cm. Hence, radius of circle is 25 cm.

Mathematics

A chord of length 48 cm is drawn at a distance of 7 cm from centre of the circle. Calculate the radius of the circle.

Circles

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