AP is tangent to circle O at point P, What is the length of OP?

In the figure above, overline(PA) is tangent to circle O at point A, overline(PB) is tangent to circle O at point B. Angle AOB measures 120^(@) and OP=(4)/(pi) . What is the length of minor arc AB?

Draw a circle of radius 3 cm. Mark a point P on the circle. Draw tangent to the circle through point P using the centre of the circle Analysis A circle of radius 3 cm can be drawn. Let the cemntre of the given circle be O and line l be the required tangent We know, converse of tangent theorem states that , 'A line perpendicular to radius at its outer end is tangent . therefore We construct perpendicular to radius OP at point, then line l is the required tangent .

AP is tangent to the circle with centre O at point A. OP =10 cm and /_ OPA = 30^(@) . The radiu of the circle is

AP is the tangent to a circle with centre O as shown in the figure .IF angleP=45^(@) and radius of the circle is 5cm,then OP is equal to :

In the figure above, the segments PA and PB are tangent to circle O at points A and B, respectively, and the measure of angleAPB is 60^(@) . Segment OP is drawn. If OP=(14)/(pi) , what is the length of minor arc AB?

P is any point in a circle with its centre O . If the length of the radius is 5 cm and OP = 3 cm the determine the least length of the chord passing though the point P .

Two circles with centres O and O' of radii 3 cm and 4 cm , respectively intersect at two points P and Q such that OP and O'P are tangents to the two circle . Find the length of the common chord PQ.

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