Maharashtra State BoardSSC (English Medium) 9th Standard
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Distance of Chord Ab from the Centre of a Circle is 8 Cm. Length of the Chord Ab is 12 Cm. Find the Diameter of the Circle. - Geometry

Sum

Distance of chord AB from the centre of a circle is 8 cm. Length of the chord AB is 12 cm. Find the diameter of the circle.

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Solution

Let the centre of the circle be O.
AB = 12 cm
OC = 12 cm
OC ⊥ AB
We know perpendicular drawn from the centre of the circle to the chord, bisects the chord.
So, AC = 6 cm
In   `square` OCA, 

OC2 + AC2 = AO2

⇒ 82 + 62 = AO2

⇒ AO2 = 100

⇒ AO = 10

Thus, AO = 10 cm
Diameter = 2 × 10 cm = 20 cm.

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APPEARS IN

Balbharati Mathematics 2 Geometry 9th Standard Maharashtra State Board
Chapter 6 Circle
Practice Set 6.1 | Q 1 | Page 79
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