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Question
Let C be the mid-point of an arc AB of a circle such that m \[ \stackrel\frown{AB}\] = 183°. If the region bounded by the arc ACB and the line segment AB is denoted by S, then the centre O of the circle lies
Options
in the interior of S
in the exertior of S
on the segment AB
on AB and bisects AB
Solution
in the interior of S
Given: m \[ \stackrel\frown{AB}\] = 183° and C is mid-point of arc ABO is the centre.With the given information the corresponding figure will look like the following
So the center of the circle lies inside the shaded region S.
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