The angle at the center of a circle subtended by a chord is 60°. What is the length of the chord if the radius of the circle is 7 cm?
Show answer & explanation
Correct answer: A
Explanation
Given:
Angle at the center = 60°
Radius = 7 cm
Formula:
Chord = 2R sin(θ/2)
Chord = 2 × 7 × sin(60°/2)
= 14 × sin30°
= 14 × 1/2
= 7 cm