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MATHEMATICS

JAMB 2016 - Question 21

Mathematics 2016 JAMB Past Questions - Question 21: in the diagram, the area of the shaded part is A, while the area of the circle is A2 find the ratio.

Choose the most appropriate option for the gap .

in the diagram, the area of the shaded part is A, while the area of the circle is A2 find the ratio.

A: 1/3

B: 1/5

C: 1/4

D: 1/6

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Correct Answer

Explanation

in the diagram,< ORS = 90 (RS I RT)< ORS = 90 - 60 = 30(complementary angles)< ORS = (UOT = 30(vertically opp. angles)Thus, angle subtended by the shaded part is 30 +30 = 60Hence A1 / A2 = 60 /360= 1/6