MATHEMATICS
JAMB 2015 - Question 15
Mathematics 2015 JAMB Past Questions - Question 15: Find the length of an arc which subtends an angle of 60⁰ at the center of a circle whose radius is 12cm.
A:
B:
C:
D:
Correct Answer
B
Explanation
L = ѳ /360 X 2 πr = 60/360 X 2 π X 12To find the length of an arc that subtends an angle of 60 degrees at the center of a circle with a radius of 12 cm, we can use the formula:Arc Length = (θ/360) * 2πrWhere:θ = angle in degreesr = radius of the circlePlugging in the given values:θ = 60 degreesr = 12 cmArc Length = (60/360) * 2 * π * 12Arc Length = (1/6) * 24πArc Length = 4π cmSo, the length of the arc is 4π cm.
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