A circle of Riemannian diameter pi/2 centered at N is a latitude line halfway to

Question

A circle of Riemannian diameter pi/2 centered at N is a latitude line halfway to the equator; in geographical terms, it is the 45 degree N line. (The Riemannian diameter must be measured along the spherical surface.) 1. What is its circumference? 2.What is the ratio of the circumference, C ,to its Riemannian diameter, d(dropdown r)? 3. by how much does C/d differ from pi? (Give a decimal approximation for this last answer.) 4. what is d for the latitude circle 60 degrees N? Claculate C/d adn a decimal approximation of pi - c/d.

Explanation / Answer

f you know either the Diameter, Area or Circumference, the tool does the rest! Circle Lines in Circles AB = Diameter Must pass through the centre of the circle. The Diameter is equal to twice the radius. OC = Radius The radius is a line segment that begin from the centre and touches any point on the circle. ED = Chord The chord joins any two points on a circle. FG = Tangent A line with one point common to the circle. EHD = Arc Only the portion of the circle that is between two points on the circle. ADB = Semicircle Also considered to be an arc that is exactly half of the circle. OCB = Sector The area between two radii and the arc. COB = Central Angle Fromed by two radii. The circumference of a circle is the actual length around the circle which is equal to 360

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