In the given figure, AB = 5cm, BC = 4cm, AC = 3cm. What is the diameter of the circle?

3 cm

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2.5 cm

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5 cm

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4 cm

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Solution

The correct option is C
5 cm

In the $△$ ABC, $A B^{2} = A C^{2} + B C^{2}$
Thus, AC and BC forms the perpendicular sides of the $△$ ABC
Thus, $∠ C = 90^{\circ}$
We know by theorem that angle subtended by diameter at any point on circle is $90^{\circ}$ .

So using the property we come to know that the line segment AB is the diameter of the circle. Also the length of the AB is given; therefore, the diameter length of the circle is 5 cm.

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Similar questions

In the given figure, AB $= 5 c m,$ BC $= 4 c m,$ AC $= 3 c m .$ What is the diameter of the circle?

In the given figure, AB = 5cm, BC = 4cm, AC = 3cm. Find the length of diameter of the circle.

Δ A B C

A B = 4 c m, B C = 3 c m, A C = 5 c m

∠ B

In the figure given below AB = 3 cm, AC = 5 cm and AD = 4 cm and D is the midpoint of BC. Then the length of BD is :

△ A B C

A B = 3 c m, B C = 4 c m

A C = 5 c m

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