Question

which part of a circle must be shorter than the diameter of the circle?
a an arc of the circle
b the circumference of the circle
c a chord that passes through the center of the circle
d a chord that does not pass through the center of the circle

Explanation:

Step1: Recall definitions

• Arc: A part of the circumference. Its length can vary.
• Circumference (\(C\)): \(C=\pi d\) (\(d\) is diameter), \(\pi\approx3.14\), so \(C > d\).
• Chord passing through center: It is the diameter (\(d\)).
• Chord not passing through center: By the property of circles, the length of a chord \(l\) that does not pass through the center satisfies \(l

Answer:

D. a chord that does not pass through the center of the circle