In a circle of radius 7 cm, tangent PT is drawn from a point P, such that PT = 24 cm. If O is the centre of the circle, then OP = ?
Figure

(a) 30 cm
(b) 28 cm
(c) 25 cm
(d) 31 cm

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Solution

(c) 25 cm

OP² = OT² + PT² = (7)² + (24)²
⇒ OP² = ( 49 + 576) = 625 ⇒ OP = $\sqrt{625} = 25$ cm

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In a circle of radius 7 cm, tangent PT is drawn from a point P, such that PT = 24 cm. If O is the centre of the circle, then OP = ? Figure (a) 30 cm (b) 28 cm (c) 25 cm (d) 31 cm

(c) 25 cm OP2 = OT2 + PT2 = (7)2 + (24)2 ⇒ OP2 = ( 49 + 576) = 625 ⇒ OP = 625=25 cm

In a circle of radius 7 cm, tangent PT is drawn from a point P, such that PT = 24 cm. If O is the centre of the circle, then OP = ?
Figure

(a) 30 cm
(b) 28 cm
(c) 25 cm
(d) 31 cm

(c) 25 cm

OP² = OT² + PT² = (7)² + (24)²
⇒ OP² = ( 49 + 576) = 625 ⇒ OP = $\sqrt{625} = 25$ cm