Question

a door of width 6m has an arch of height 2m find it's radius​

Answer 1

Here Is Your Ans

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Let Q be the centre o the arch. join AQ and PQ

Let PQ = x cm and AQ = QB = x + 2

In triangle QAP, by Pythagoras theorem,

AP2 = AQ2 + PQ2

(x + 2)2 = x2 + 32

x2 + 4x + 4 = x2 + 9

4x + 4 = 9

4x = 9 – 4 = 5

x = 5/4 = 1.25 cm

Therefore, radius of the arch = x + 2 = 1.25 + 2 = 3.25 cm

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