Question

The radius of the circle is 5cm and distance of the chord from the center of the circle is 4cm.Find the length of the chord.

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

The length of the chord is 6 cm.

• Given data :

The radius of the circle = 5 cm

The distance or chord from the center of the circle = 4 cm

• Now,the distance between the center and the chord is measured by the length of the perpendicular line drawn from the center of the circle on the given chord.

• And,that perpendicular divides the chord into two equal parts.

• So,in the context of a right angled of triangle :

Perpendicular distance = Height of the right angled triangle.

Radius = Hypotenuse of the right angled triangle.

Half of the chord's length = Base of the right angled triangle.

• Now,by applying the Pythagoras theorem,we get that ;

(Half of chord's length)² + (4)² = (5)²

(Half of chord's length)² = 25-16

(Half of chord's length)² = 9

Half of chord's length = 3

Chord's length = 3×2 = 6 cm

So,the length of the given chord is 6 cm. (Answer)