Math mini-contest problem for Day 4 on D.Buzz for April 2021 😎

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Math problem for Day 4 for April 2021 😎

jancharlest@jancharlest bought a 36-inch (diameter) round pizza for D.Buzz. When he removed a pizza slice whose pointed end is at the center, the remaining pizza's perimeter increased by 6 inches. What is the size of jancharlest@jancharlest's pizza slice?

Math mini-contest problem for Day 4 on D.Buzz for April 2021 😎 | Ecency