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Question
The center of a circle is at point O and its radius is 8 cm. State the position of a point P (point P may lie inside the circle, on the circumference of the circle, or outside the circle), when:
(a) OP = 10.6 cm
(b) OP = 6.8 cm
(c) OP = 8 cm
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Solution
(a) Draw circle each of radius 8 cm. With centre O In the following figure (i) draw OP = 10.6 cm
(i)

(ii)

(iii)

We see that point P lies outside the circle as OP > radius of the circle
(b) In the above figure (ii) OP = 6.8 cm. We see that P lies inside the circle as OP < radius of the circle.
(c) In the above figure, OP = 8 cm. We see that P lies on the circle as OP = radius of the circle.
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