Multiple choice

The length of the common chord of two intersecting circles in 24 cm. If the diameter of the circles are 30 cm and 26 cm respectively. Then the distance between the center (in cm.) is- दो प्रतिच्छेदित वृत्त की उभयनिष्ठ जीवा की लम्बाई 24 सेमी हो, यदि दोनों वृत्तों के व्यास क्रमशः 30 सेमी तथा 26 सेमी है। तब उनके केन्द्रों के बीच की दूरी ज्ञात करें ?

  1. 13

  2. 14

  3. 15

  4. 16

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For circle 1 (radius 15 cm), distance from center to chord = √(15² - 12²) = 9 cm. For circle 2 (radius 13 cm), distance from center to chord = √(13² - 12²) = 5 cm. Total distance between centers = 9 + 5 = 14 cm.