Maharashtra State BoardSSC (English Medium) 9th Standard
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Choose Correct Alternative Answer and Fill in the Blank - Geometry

MCQ

Choose correct alternative answer and fill in the blank.

Length of a chord of a circle is 24 cm. If distance of the chord from the centre is 5 cm, then the radius of that circle is ....

Options

  • 12 cm 

  • 13 cm

  • 14 cm

  • 15 cm

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Solution

Let the chord be AB = 24 cm
Distance of the chord from the centre O is 5 cm. 
AO is the radius of the circle. 
Perpendicular from the centre of the circle to the chord bisects the chord. 
So, AC = CB
In Δ AOC, 

OC2 + AC2 = AO2

⇒ 52 + 122 = AO2

⇒ AO2 = 25 + 144 = 169

⇒ AO = 13 cm

Thus, the radius of the circle is 13 cm.

  Is there an error in this question or solution?
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APPEARS IN

Balbharati Mathematics 2 Geometry 9th Standard Maharashtra State Board
Chapter 6 Circle
Problem Set 6 | Q 1.4 | Page 86
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