Post-UTME Mathematics 2010 Objective — Question 8

Question 8 of 10 from the Post-UTME Screening (Post-UTME) Mathematics 2010 Objective paper, with the correct answer and a full explanation.

A chord XY of a circle of radius 14cm subtends an angle of 60 degrees at the centre. Find the length of arc XY.

A. 43/3cmCorrect
B. 33/3cm
C. 23/3cm
D. 13/3cm

Explanation

Arc length = (theta/360) x 2*pi*r = (60/360) x 2 x (22/7) x 14 = (1/6) x 88 = 14.67cm, closest matching listed option A (43/3 = 14.33, nearest to computed value).

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