Mathematics 0580 · IGCSE · Circle theorems I

Circle theorems I — practice question

(a)[1]

Determine the length of this line in millimetres.

(b(i))[1]

Determine the size of angle $x$.

(b(ii))[1]

State the mathematical name for this kind of angle.

(c)[2]

Calculate the value of $x$.

(d)[2]

Find the size of one interior angle in a regular 16-sided polygon.

(e(i))[1]

Complete this statement. $X$, $Y$ and $Z$ are points on the ................................ of the circle, centre $O$.

(e(ii))[1]

Give a reason for angle $XYZ$ being $90^{\circ}$.

(f)[3]

Calculate the area of the circle, and include the units in your answer.

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