2026 · Q57
The chord of a circle is 20 cm and the height of the minor segment is 5 cm. What is the diameter of the circle?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A24 cm
- B25 cm
- C26 cm
- D30 cm
Explanation
For a chord of half-length 10 and segment height 5, the radius satisfies r² = 10² + (r − 5)². Expanding, r² = 100 + r² − 10r + 25, so 10r = 125 and r = 12.5 cm. The diameter is 25 cm, option B.