Consider the following statements : 1. A great circle is the largest possible circle that can be drawn on the surface of the sphere. 2. Every great circle divides the Earth into equal halves. Which of the statements given above is/are correct?
Both 1 and 2
Statement 1: A great circle is defined as any circle drawn on a sphere whose plane passes through the sphere's centre. Since its radius equals the sphere's own radius, it is the largest circle that can be drawn on that surface — the Equator and every meridian (with its opposite meridian) are examples. This statement is correct.
Statement 2: Because the plane of a great circle passes through the centre of the Earth, it necessarily splits the sphere into two equal hemispheres. This statement is correct.
Hence, the answer is Both 1 and 2.
Perth located on $118^\circ$ East Longitude will be celebrating New Year event on $1^{st}$ of January 2017 at 6:00 AM. At that time, what would be the time at Los Angeles located on $110^\circ$ West Longitude ?