Question
Read the Source/ Text given below and answer these questions:

As Class $IX\ C'$ s teacher Mrs.Rashmi entered in the class, She told students to do some practice on circle chapter. She Draws two-line $AB$ and $BC$ so that $AB = 8\ cm$ and $BC = 6\ cm.$ She told all students To make this shape in their notebook and draw a circle passing through the three points $A, B$ and $C.$
$i.$ Dileep drew $AB$ and $BC$ as per the figure
$ii.$ He drew perpendicular bisectors $OP$ and $OQ$ of the line $AB$ and $BC.$
$ii. OP$ and $OQ$ intersect at $O$
$iv.$ Now taking $O$ as centre and $OB$ as radius he drew The circle which passes through $A, B$ and $C.$
$v.$ He noticed that $A, O$ and $C$ are collinear.
Answer the following questions:
$i.$ What you will call the line $\text{AOC}?$
$a.$ Arc
$b.$ Diameter
$c.$ Radius
$d.$ Chord
$ii.$ What is the measure of $\angle\text{ABC}?$
$a. 60^\circ $
$b. 90^\circ $
$c. 45^\circ $
$d. 75^\circ $
$iii.$ What you will call the yellow color shaded area $\text{AMB}?$
$a.$ Arc.
$b.$ Sector.
$c.$ Major segment.
$d.$ Minor Segment.
$iv.$ What you will call the grey colour shaded area $\text{BCNA}?$
$a.$ Arc.
$b.$ Sector.
$c.$ Major segment.
$d.$ Minor Segment.
$v.$ What is the radius of the circle$?$
$a. 4\ cm$
$b. 3\ cm$
$c. 7\ cm$
$d. 5\ cm$

Answer

$(i)$ $(b)$ Diameter
$(ii)$ $(b)$ $90^\circ $
$(iii)$ $(d)$ Minor Segment.
$(iv)$ $(c)$ Major segment.
$(v)$ $(d)$ $5\ cm$

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