SSC (English Medium) Class 8Maharashtra State Board
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# Radius of a Circle with Centre O is 25 Cm. Find the Distance of a Chord from the Centre If Length of the Chord is 48 Cm. - SSC (English Medium) Class 8 - Mathematics

ConceptProperties of Chord of a Circle

#### Question

Radius of a circle with centre O is 25 cm. Find the distance of a chord from the centre if length of the chord is 48 cm.

#### Solution

Perpendicular drawn from the centre of the circle to the chord bisects the chord.

So, PD = 1/2 CD = 48/2 = 24 cm

In Δ OPD,

We apply the pythagoras theorem,

OP² + PD² = OD²

⇒ OP² + 24² = 25²

⇒ OP² = 25² - 24² = 625 -576 = 49

⇒ OP² = 49

⇒ OP = 7 CM

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#### APPEARS IN

Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 17: Circle : Chord and Arc
Practice Set 17.1 | Q: 2 | Page no. 116
Solution Radius of a Circle with Centre O is 25 Cm. Find the Distance of a Chord from the Centre If Length of the Chord is 48 Cm. Concept: Properties of Chord of a Circle.
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