Multiple choice

In a circle, a chord of length 16 cm is at a distance of 6 cm from the center. What is the radius of the circle?

  1. 10

  2. 12

  3. 15

  4. 8

  5. 3
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A chord, the radius, and the distance from the center form a right-angled triangle. The distance from the center bisects the chord, so the base of the triangle is 8 cm. Using the Pythagorean theorem, radius^2 = 6^2 + 8^2 = 36 + 64 = 100, so the radius is 10 cm.

AI explanation

The perpendicular from the center to the chord bisects the chord, forming a right triangle with half the chord length and the radius. Applying the Pythagorean theorem, r^2 = 6^2 + 8^2, which gives r^2 = 100. The radius r is the square root of 100, making it 10.

Keep practicing — related questions