Multiple choice

If the length of a chord of a circle is equal to its radius, then find the angle subtended by it at the minor arc of the circle

  1. 150

  2. 104

  3. 125

  4. 110
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A Correct answer
Explanation

If a chord equals the radius, it forms an equilateral triangle with the center, so the angle at the center is 60 degrees. The angle subtended at the major arc is 30 degrees, and the angle subtended at the minor arc is 180 - 30 = 150 degrees.

AI explanation

If the length of the chord is equal to the radius, the triangle formed by the chord and the two radii is an equilateral triangle, meaning the central angle is 60 degrees. The angle subtended by the chord at the major arc is half of the central angle, which is 30 degrees. The angle subtended at the minor arc is found by subtracting the 30-degree angle from 180 degrees, yielding 150 degrees.

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