The least possible radius is obtained when the two given points are the endpoints of the diameter of the circle. Therefore, the smallest radius equals half the distance between the two points.
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The least possible radius is obtained when the two given points are the endpoints of the diameter of the circle. Therefore, the smallest radius equals half the distance between the two points.
Infinitely many circles can pass through two given points. Among them, the smallest circle is formed when the two points become the endpoints of the diameter. In this case, the centre lies at the midpoint of the line segment joining the points. Therefore, the least possible radius is equal to half the distance between the two given points.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 5 I’m Up and Down and Round and Round (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-5/