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Question about Circles: Theorems

Math

Originais Teachy

Circles: Theorems

Medium

(Originais Teachy 2023) - Question Medium of Math

In an archery competition, an archer needs to hit the center of a circular target. The target has two concentric circles, the larger circle has a radius of 10 cm and the smaller circle has a radius of 5 cm. The archer is positioned at a distance of 20 cm from the center of the target. The line connecting the archer to the center of the smaller circle forms a right angle with the line connecting the center of the smaller circle to the farthest point of the larger circle. If the archer hits the farthest point of the larger circle, what will be the measure of the exterior eccentric angle formed?
a.
arccos(1/3)
b.
arctan(2/3)
c.
arcsin(2/3)
d.
arcsin(1/3)
e.
arccos(2/3)

Answer:

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