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How to deal with this mess to make this mesh smooth. I was using circle to make it

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The subdivision modifier won't produce good results with triangles in the geometry. (Carlo mentioned this answer, which showcases how the modifier works on topology.)

To solve this, use quads only.

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  1. Delete the center vertice, select the edge loop and do the Grid Fill operation.
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  2. Recreate the sperical shape. Set the Cursor as Pivot (.). Place it in the imaginary center of the spherical shape. Select the flat grid geometry and press ⇧ Shift⎇ AltS to scale to sphere.
    enter image description here
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