Question

A chord of length 30cm is drawn at a distance of 8 cm from the centre of a circle. Find out the radius of the circle.

Answer 1

refer to attachment ⤴️⤴️

Answer 2

$\huge\mathfrak\red{Solution}$

• Chord of length 30 cm

Given that distance from centre to the chord

• AB is OC = 8 cm

• OC⊥AB Þ AC = CB [Since perpendicular drawn from centre of the circle bisects the chord]

∴ AC = CB = 15 cm

In right ΔOCA,

OA2 = AC2 + OC2

= 152 + 82

= 225 + 64 =

= 289 ⇒

AC = 17 cm

Thus the radius of the circle is 17 cm.

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