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LuckyWell [14K]
3 years ago
11

find the circumference of a circle that has an area of 452.16 square meters. (Use 3.1416 as the value of π.)

Mathematics
1 answer:
IceJOKER [234]3 years ago
3 0
(1) circumference of a circle = 2π.R
(2) area of a circle = π.R²

Area = 452.16 m² (given), so we can calculate the radius:
452.16 = π.R²
452.16/π = R²

143.92 = R²  → R =√143.92 ≈ 12 m
Having R = 12, now we can calculate the circumference :

circumference of a circle = 2π.R = 2.π.12 = 75.41 m

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