Question

The radius of a circle with center O is 6cm.OP = 6.3 cm and OQ =5.8 cm.

State with reason which point lies in the interior of the circle​

Answer 1

Answer:

OAistheradiusr=7cmofacirclewithcentreO.

P&Qaretwqpointssuchthatd(OP)=4cmand

d(OQ)=9cm.

Tofindout−

ThepositionsofP&Q.

Solution−

Weknowthatifapointisatadistancedfromthe

centerofacircleofradiusr,then

(i)thepointisintheexteriorofthecircleifr<d..........(i)and

(ii)thepointisintheinteriorofthecircleifr>d.........(ii)

Herer=7cmandd(OP)=4cm.

∴r>d(OP).i.eby(ii)Pisintheinteriorofthecircle.

Againd(OQ)=9cm.

∴r<d(OQ).i.eQisintheexteriorofthecircle.

SothepointPisintheinteriorandthepointQ

isintheexteriorofthecircle.

Ans−OptionB.

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Answer 2

Answer:

The point on the radius always wil fall on the circumference.

If the line is greater than the radius the point will fall on the exterior.

Thus, OQ will fall on the interior of the circle.