Question

draw the largest circle on a spherical mosambi with the help of campass.Then draw a circle on flat paper without changing the radius of the campass.If the radius of the cap of peel of the mosambi is r and radius of the circle on flat paper is R ,find the ratio R and r

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Answer 1

Given : draw the largest circle on a spherical mosambi with the help of campass.Then draw a circle on flat paper without changing the radius of the campass

radius of the cap of peel of the mosambi is r and radius of the circle on flat paper is R

To Find :  the ratio R and r

Solution

A great circle is the largest possible circle that can be drawn around a sphere.

All spheres have great circles.

If sphere  id cut across at one of its great circles,  

it cut exactly in two hemispheres

Hence

A great circle has the same center point as its sphere

and same radius

Hence radius of the cap of peel of the mosambi is r and radius of the circle on flat paper is R are Equal

ratio R and r = 1:1

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