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P=4πr²
36π=4πr².......skracamy obustronnie π
36=4r²
4r²=36.................// :4
r²=9....................// √
r=3
obliczamy krawędź ostrosłupa
a²+b²=c²
4²+3²=c²
16+9=c²
25=c²....................// √
c=5
tgα= r/h
tgα=3/4
tgα=0,75
tgα=41⁰
41⁰ × 2 = 82⁰
Kąt wierzchołkowy wynosi 82⁰