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9. Tangents and Secants to a Circle
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Q6 of 26 Page 235

Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation.

Step1:Draw circles of radius 4 and 6 cm



Step 3: Draw tangent to inner circle from C



AD is perpendicular to DC- tangent and radius


In Δ ADC


AC is radius


AC2 = AD2 + DC2


62 = 42 + DC2


36 = 16 + DC2


DC2 = 20


DC = 2 cm


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4

A triangle ABC is drawn to circumscribe a circle of radius 3 cm. such that the segments BD and DC into which BC is divided by the point of contact D are of length 9 cm. and 3 cm. respectively (See adjacent figure). Find the sides AB and AC.

5

Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the circle and measure their lengths. Verify by using Pythogoras Theorem.

7

Draw a circle with the help of a bangle, Take a point outside the circle. Construct the pair of tangents from this point to the circle measure them. Write conclusion.

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Questions · 26
9. Tangents and Secants to a Circle
1 2 3 4 5 1 1 1 1 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8
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