Question

If a circle has a diameter of 116 m and bisects a chord 42 m from the center of the circle, how long is the chord?(1 point)
Responses

40 mmetre
40 m metre

58 mmetre
58 m metre

32 mmetre
32 m metre

80 m

Answer 1

Radius = 116/2 = 58 m. If the perpendicular distance from center to chord is 42 m, half the chord = sqrt(58^2 − 42^2) = sqrt(3364 − 1764) = sqrt(1600) = 40 m. So the full chord = 2×40 = 80 m.