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Mathematics

The radius of a circle is 6 cm. Find its diameter. If O is the centre of the circle; state, giving reasons, the position of points A, B and C; if;

(i) OA = 4.8 cm

(ii) OB = 7.5 cm

(iii) OC = 6 cm

Circles

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Answer

The radius of a circle = 6 cm

As, the diameter is twice the radius.

Diameter = 2 x 6 cm = 12 cm.

(i) OA = 4.8 cm

As, 4.8 < 6 (Radius)

Hence, A lies inside the circle.

(ii) OB = 7.5 cm

As, 7.5 > 6 (Radius)

Hence, B lies outside the circle.

(iii) OC = 6 cm

As, 6 = 6 (Radius)

Hence, C lies on the circumference of the circle.

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