Question

the radius of acircle is 17cm & the length of one of its chord is 30 cm ? find the distance of chord from centre ?

Answer 1

R (radius) = 17cm

CA (Chord) = 30cm

Line drawn from the center of the circle to a chord bisects the chord.

⇒CA/2 = 30/2 = 15cm

Join AB,

In ΔADB,

D being the point where the line drawn from the center to the chord meets,

AB² = AD² + DB²

⇒ DB² = AB² - AD²

⇒ DB² = 17² + 15²

⇒ DB² = 289 - 225

⇒ DB = √64cm

⇒ DB = 8cm

∴, The distance of Chord From the Center = 8cm.