Multiple choice

The length of the diameter of the circle is 10 cm and length of the chord drawn in a circle is 6 cm. Find the distance (in cm) of chord from the center. वृत्त के व्यास की लंबाई 10 सेमी है तथा एक वृत्त में खींची गई जीवा की लम्बाई 6 सेमी है । केंद्र से जीवा की दूरी (सेमी में) ज्ञात कीजिये।

  1. 10

  2. 8

  3. 6

  4. 4

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

For a circle of radius 5 cm (diameter 10 cm), a chord of length 6 cm is 3 cm from each end (half of chord length). Using the perpendicular from center to the chord, we get a right triangle with hypotenuse = 5 cm and one leg = 3 cm. The distance from center = √(5² - 3²) = √(25 - 9) = √16 = 4 cm. This uses the property that the perpendicular from the center bisects the chord.