MATHEMATICS
JAMB 2015 - Question 21
Mathematics 2015 JAMB Past Questions - Question 21: A chord of a circle of radius √6 cm subtends an angle of 300on the circumference of circle.find the length of the chord?
A:
B:
C:
D:
Correct Answer
C
Explanation
l=2rsin0 =2*√6*sin 30= √6To find the length of the chord of a circle with a radius of √6 cm that subtends an angle of 30 degrees on the circumference of the circle, we can use the formula:Chord Length = 2 * r * sin(θ/2)Where:r = radius of the circleθ = angle subtended by the chordPlugging in the given values:r = √6 cmθ = 30 degreesChord Length = 2 * √6 * sin(30/2)Chord Length = 2 * √6 * sin(15)Chord Length ≈ 2 * √6 * 0.2588Chord Length ≈ 2.0712 cmTherefore, the length of the chord is approximately 2.0712 cm.
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