Circle Theorems

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Question 28

Diagram of a circle with center O. A tangent line XZ touches the circle at point X. A line OYZ passes through the center O and the circumference at point Y. The radius OX is labeled 11 cm, and the tangent segment XZ is labeled 60 cm.

$X\,$ and $Y\,$ are points on the circumference of a circle, centre $O$ . $XZ\,$ is a tangent to the circle at $X$ . $OYZ\,$ is a straight line.

$11\text{ cm}$ $60\text{ cm}$

Find the length of $Y Z$ .

You must show all your working.

[4]

Circle Theorems

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

Question 28

Diagram of a circle with center O. A tangent line XZ touches the circle at point X. A line OYZ passes through the center O and the circumference at point Y. The radius OX is labeled 11 cm, and the tangent segment XZ is labeled 60 cm.

$X\,$ and $Y\,$ are points on the circumference of a circle, centre $O$ . $XZ\,$ is a tangent to the circle at $X$ . $OYZ\,$ is a straight line.

$11\text{ cm}$ $60\text{ cm}$

Find the length of $Y Z$ .

You must show all your working.

[4]

Circle Theorems

Question 28

Markscheme

Circle Theorems

Question 28

Markscheme

Circle Theorems

Question 28

Circle Theorems Questions

Circle Theorems

Question 28

Circle Theorems Questions