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### High School Mathematics - 28.11 Construction of a Tangent to a Circle from a Point Outside the Circle

 Given: A circle with centre O and a point P outside it. Step 1: Join OP and bisect it. Let M be the mid-point of OP. Step 2: Taking M as centre and MO as radius, draw a semicircle. Let it intersect the given circle at Q. Join PQ. PQ is the required tangent from P to the circle. Directions: Construct tangents for the following.
 Q 1: Draw a tangent to a circle of radius 6 cms at a point 8 cm away from the centre.Answer: Q 2: Draw a tangent to a circle of radius 9 cms at a point 11 cm away from the centre.Answer: Q 3: Draw a tangent to a circle of radius 3 cms at a point 5 cm away from the centre.Answer: Q 4: Answer: Q 5: Answer: Q 6: Answer: Q 7: Draw a tangent to a circle of radius 3.4 cms at a point 5.2 cm away from the centre.Answer: Q 8: Answer: Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!