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Because on a globe, a great-circle route is the shortest route between two places.
Because any 'Great Circle' is the shortest distance across a sphere. Where the Earth is concerned , all the meridians and the Equator are Great Circles. The Plane of a 'Great Circles ' 'cut' the sphere into two equally sized hemispheres. NB Other than the Equator all the latitudes are NOT great Circles.
Pi can be used to calculate the area of a circle Pi can be used to calculate the circumference of a circle
ford circle can be used for bridge making
A compass is used to make a perfect circle.