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# What part of a revolution have you turned through if you stand facing

**(a)** east and turn clockwise to face north?

**(b)** south and turn clockwise to face east

**(c)** west and turn clockwise to face east?

To do :

We have to find the direction we face in each case.

Solution :

We know that,

1 revolution $= 360^o$

Therefore,

(a) If we start facing east and turn clockwise to face north, we will turn $270^o$ from the starting point.

This implies,

The fraction of revolution $=\frac{270^o}{360^o}$

$=\frac{3}{4}$

Therefore, we have turned $\frac{3}{4}$ of a revolution in this case.

(b) If we start facing south and turn clockwise to face east, we will turn $270^o$ from the starting point.

This implies,

The fraction of revolution $=\frac{270^o}{360^o}$

$=\frac{3}{4}$

Therefore, we have turned $\frac{3}{4}$ of a revolution in this case.

(c) If we start facing west and turn clockwise to face east, we will turn $180^o$ from the starting point.

This implies,

The fraction of revolution $=\frac{180^o}{360^o}$

$=\frac{1}{2}$

Therefore, we have turned $\frac{1}{2}$ of a revolution in this case.

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