Multiple choice

In a circle of radius 17 cm, two parallel chords of length 30 cm and 16 cm are drawn. If both the chords are on the same side of the centre, then the distance between the chords is 17 सेमी. की त्रिज्या वाले एक वृत्त में, 30 सेमी. और 16 सेमी. की दो समान्तर जीवायें खींची गयी हैं | यदि दोनों जीवायें केंद्र के एक ही ओर स्थित हैं, तो जीवाओं के बीच की दूरी है

  1. 9 cm./सेमी.

  2. 7 cm./सेमी.

  3. 23 cm./सेमी.

  4. 11 cm./सेमी.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For chord length L in a circle of radius R, perpendicular distance from center = sqrt(R² - (L/2)²). For 30 cm chord: distance = sqrt(289 - 225) = 8 cm. For 16 cm chord: distance = sqrt(289 - 64) = 15 cm. Since both chords are on same side of center, distance between them = 15 - 8 = 7 cm.

Keep practicing — related questions