find the measure of the intercepted arc in terms of pi in a circle with a diameter 60 inches and central angle of 72 degrees.?
- Mike GLv 71 year agoFavorite Answer
r = 30 inches
θ = 2π/5
arc = rθ = 12π inches
- az_lenderLv 71 year ago
Circumference is 60 pi inches.
Arc length is (72/360)*(60 pi) = 12 pi inches.
- DWReadLv 71 year ago
radius r = 30 inches
θ = 72°×2π radians/360° = ⅖π radians
arc length = rθ = 30 in × ⅖π = 12π inches ≅ 37.7 inches
- PuzzlingLv 71 year ago
Convert 72° to radians by multiplying by π/180°
= 72°* π/180°
Then to get the arc length, just multiply the angle (in radians) by the radius.
60 * 2π/5
= 24π inches