If the length of a chord of a circle is 16 cm and the distance of the chord from the centre is 6 cm, find the radius of the circle
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the radius of centre circle is 12 cm
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Given: The length of a chord of a circle is 16 cm and the distance of the chord from the centre is 6 cm.
To find: Radius of the circle.
⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━⠀⠀⠀
Draw, RA ⊥ SJ
☯ Perpendicular drawn from centre of a circle to a chord bisects the chord.
In ΔRAJ, m∠ABC = 90°
According to the pythagorus theorem,
⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀
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