Question

draw the largest circle on a spherical mosambi with the help of compass then draw the circle on flat paper without changing radius of compass if the radius of the cap of peel of mosambi is' r' and the radius of circle on flat paper is' R'find the ratio of R/r​

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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