Practicing Success
A chord of a circle is equal to its radius of length 9 cm. Find the angle subtended by it in major segment. |
90° 60° 30° 120° |
30° |
The length of chord = radius = 9 cm = It forms an equilateral triangle with each angle at \({60}^\circ\) = The angle subtended by the chord at the center = \({60}^\circ\) By using theorem, the angle subtended in the major segment is half of the angle subtended at the center. = \(\frac{60}{2}\) = \({30}^\circ\) Therefore, the angle subtended by the chord in the major segment is \({30}^\circ\). |