Math, asked by adi6179, 1 year ago

length of a chord of a circle is 16 cm and the distance of a chord is 15 cm from the centre of a circle then find the radius of a circle

Answers

Answered by arvindbose504

Answer: 17 cm

Step-by-step explanation:

Length of Chord is 16 cm and distance is 1 5 cm ( this is the line from contre 9f circle and perpendicular to the chord).

As the perpendicular from the centre on chord bisects the chord into 8-8 cm.

Hence, it makes a triangle with base 4 cm and perpendicular 15 cm then Hypotenuse is the radius, use Pythagorus theorum to get the answer.

adi6179: how 17cm

arvindbose504: see the explanation

adi6179: please do step by step

arvindbose504: the Perpendicular from centre, ( which is also the distance of chord from centre) bisects the chord. Now this perpendicular and one of the bisected chord makes a triangle. In this triangle Perpendicular is 15 cm ( distance from centre) and base is 8 cm ( bisected chord, half). On using Pythagorus theorum : Hypotenuse square = Base square + Perpendicular Square

adi6179: thank you

arvindbose504: now, Hypotenuse =( 15)square + (8) square

arvindbose504: Hypotenuse square = 225 + 64

arvindbose504: hypotenuse square = 289

arvindbose504: hypotenuse = under root 289

arvindbose504: hypotenuse ( which is the radius) = 17

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length of a chord of a circle is 16 cm and the distance of a chord is 15 cm from the centre of a circle then find the radius of a circle​

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length of a chord of a circle is 16 cm and the distance of a chord is 15 cm from the centre of a circle then find the radius of a circle