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Calculate the angle W R S, given that RW is a tangent to the circle at R and RS is the diameter.

Mathematics

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Answer

90∘\text{90}^\circ

Here are the calculations for the angles:

1.2.1 Calculate WR^S\text{W}\hat{\text{R}}\text{S}

Step 1: Identify the relationship between the tangent and the diameter.
RW is a tangent to the circle at R, and RS is the diameter. The angle between a tangent and a diameter at the point of contact is 90∘90^\circ.

WR^S=90∘\text{W}\hat{\text{R}}\text{S} = 90^\circ

The size of WR^S\text{W}\hat{\text{R}}\text{S} is 90∘\boxed{\text{90}^\circ}.

**1.2.2 Calculate $\hat{\text{

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