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Standard IX

Mathematics

Segment and Sector

Let C be the ...

Question

Let C be the mid-point of an arc AB of a circle such that m $\overset{⏜}{A B}$ = 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

(a) in the interior of S

(b) in the exertior of S

(c) on the segment AB

(d) on AB and bisects AB

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Solution

(a) in the interior of S

Given: m $\overset{⏜}{A B}$ = 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.

Hence, the correct answer is option (a).

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Let C be the mid-point of an arc AB of a circle such that m 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 (a) in the interior of S (b) in the exertior of S (c) on the segment AB (d) on AB and bisects AB

(a) in the interior of S Given: m 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. Hence, the correct answer is option (a).

(a) in the interior of S

Given: m $\overset{⏜}{A B}$ = 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.

Hence, the correct answer is option (a).