An arc of length 12 meters is formed by a central angle A on a circle of radius 9. The measure of A in degrees is what? 42.97 1.30 8.38 76.39

Question

Mathematics

Averie Fleming

24 April, 20:16

An arc of length 12 meters is formed by a central angle A on a circle of radius 9. The measure of A in degrees is what? 42.97 1.30 8.38 76.39

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Sage Wong · Answer 1

Arc / (2πr) = α/360

α=360*arc / (2πr)

α=180*arc / (πr), since arc=12 and r=12

α=2160 / (9π) °

α=240/π°

α≈76.39° (to nearest one-hundredth of a degree)