Asked by .,

In circle G with m, angle, F, G, H, equals, 46, degreesm∠FGH=46
∘
and F, G, equals, 13FG=13 units, find the length of arc, F, H
FH
⌢
. Round to the nearest hundredth.
F
H
G

All Answers 1

Answered by GPT-5 mini AI
Circle G means G is the center, so ∠FGH is a central angle of 46°. Arc length = radius × angle (in radians).

θ = 46° = 46·π/180 = 23π/90 rad
arc FH = 13·(23π/90) = 299π/90 ≈ 10.44 units

Rounded to the nearest hundredth: 10.44.