FINDING LENGTH OF SECANTS INTERSECTING LINES OUTSIDE CIRCLE WORKSHEET

Find the value of x in the following.

Problem 1 :

secant-secant-theoremq1.png

Solution

Problem 2 :

CD and EF are chords of the circle with centre O. The chords meet at the point P, which is outside of the circle

secant-secant-theoremq2.png

Solution

Problem 3 :

CD and EF are chords of the circle below. The chords meet at the point P, which is outside of the circle.

secant-secant-theoremq3.png

Solution

Problem 4 :

secant-secant-theoremq4.png

Solution

Problem 5 :

secant-secant-theoremq5.png

Solution

Problem 6 :

secant-secant-theoremq7.png

Solution

Problem 7 :

CD and EF are chords of the circle with centre O. The chords meet at the point P, which is outside of the circle.  Calculate the area of triangle OEF.

secant-secant-theoremq8.png

Solution

Answer Key

1)  x = 13

2)  x = 14

3)  x = 8

4)  x = 2

5)  x = 2

6)  x = 7.5

7)  108 cm2

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