# Draw a Circle of Radius 3.5 Cm. Mark a Point P Outside the Circle at a Distance of 6 Cm from the Centre. Construct Two Tangents from P to the Given Circle. Measure and Write Down Th - Mathematics

Sum

Draw a circle of radius 3.5 cm. mark a point P outside the circle at a distance of 6 cm from the centre. Construct two tangents from P to the given circle. Measure and write down the length of one tangent.

#### Solution

Steps of Construction:
i) Draw a line segment OP = 6 cm
ii) With centre O and radius 3.5 cm, draw a circle
iii) Draw the midpoint of OP
iv) With centre M and diameter OP, draw a circle which intersect the circle at T and S
v) Join PT and PS.
PT and PS are the required tangents. On measuring the length of PT = PS = 4.8 cm

Concept: Construction of Tangents to a Circle
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#### APPEARS IN

ICSE Class 10 Mathematics
Chapter 16 Constructions (Circle)
Exercise | Q 12
Selina Concise Maths Class 10 ICSE
Chapter 19 Constructions (Circles)
Exercise 19 | Q 18 | Page 293