-
Two parallel chords are drawn in a circle of diameter 30 cm. The length of one chord is 24 cm and the distance between the two chords is 21 cm. The length of the other chord is
-
- 10 cm
- 18 cm
- 12 cm
- 16 cm
- 10 cm
Correct Option: B
As per the given in question , we draw a figure circle
Given , AB = 24 cm
⇒ AE = EB = 12 cm
OE = √OA² - AE²
OE = √15² - 12²
OE = √225 - 144 = √81
OE = 9 cm
∴ OF = 21 – 9 = 12 cm
Also, CF = √15² - 12² = 9 cm
∴ CD = 2 × CF = 2 × 9 = 18 cm
