Question 6

The circle of radius 4 cm and centre O has a tangent PR. If $$\angle POR=90^\circ$$ and OR = 7 cm and OP = 24 cm. Calculate the length (in cm) of PR.

Solution

Given : $$\angle$$ POR = $$90^\circ$$ and OR = 7 cm and OP = 24 cm

To find : PR = ?

Solution : In right $$\triangle$$ OPR,

=> $$(PR)^2=(OP)^2+(OR)^2$$

=> $$(PR)^2=(24)^2+(7)^2$$

=> $$(PR)^2=576+49=625$$

=> $$PR=\sqrt{625}=25$$ cm

=> Ans - (C)

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