Question

Diameter of a circle is 20 cm and the distance of the chord from the centre is 6 cm, find the length of the chord​

Answer 1

Answer:

Given,

Diameter of the circle = 20 cm

Radius of the circle = 20/2 = 10 cm

distance of chord from the centre = 8 cm

To find,

Length of the chord

In the figure (refer to the attachment)

Using pythagoras theorem in ΔOAM

→ AM² = OA² - OM²

→ AM² = 10² - 8² = 100 - 64

→ AM² = 36

→ AM = 6 cm

Using the theorem: A perpendicular drawn from the center of the circle to a chord bisects the chord. i.e, (AM = BM) so,

→ AB = 2 AM = 2 × 6 = 12 cm

Therefore,

Length of the chord will be 12 cm.

Explanation:

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