5. Calculate the area of a circle of radius r (distance from center to circumference) in the two-dimensional geometry that is the surface of a sphere of radius a. Show that this reduces to ar when r « a.

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5. Calculate the area of a circle of radius r (distance from center to circumference) in the
two-dimensional geometry that is the surface of a sphere of radius a. Show that this
reduces to 7 r when r « a.
Transcribed Image Text:5. Calculate the area of a circle of radius r (distance from center to circumference) in the two-dimensional geometry that is the surface of a sphere of radius a. Show that this reduces to 7 r when r « a.
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