b$)$ The number of teeth on a $20$ full depth involute gear is $20.$ The module is $10mm$ and the addendum is one module. Determine, i$.$ Pitch circle radius.

ii$.$ Tooth thickness at the pitch circle.

iii. Base circle radius.

iv$.$ Tooth thickness at the base circle.

$V.$ Addendum circle radius.

vi$.$ Pressure angle at addendum circle radius.

vii. Tooth thickness at addendum circle radius.