Multiple choice

The distance of the chord of length 16 cm from the center of the circle of diameter 20 cm is

  1. 3 cm

  2. 4 cm

  3. 5 cm

  4. 6 cm
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Radius = 10 cm. Chord length = 16 cm. A perpendicular from the center bisects the chord into two 8 cm segments. Using the Pythagorean theorem, distance^2 + 8^2 = 10^2. distance^2 = 100 - 64 = 36. distance = 6 cm.

AI explanation

The radius of the circle is half of the 20 cm diameter, which is 10 cm. The perpendicular from the center to the chord bisects the 16 cm chord, creating a right triangle with a leg of 8 cm and a hypotenuse of 10 cm. Using the Pythagorean theorem, the distance d is calculated as the square root of (10^2 - 8^2). Thus, the distance is the square root of 36, which is 6 cm.

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