Question

If AC = 4 cm and BC = 3 cm, then the diameter of the circle is equal to .

• A. 6 cm
• B. 5 cm
• C. 4 cm
• D. 3 cm

Answer 1

The correct option is B 5 cm

Given: AC = 4 cm and BC = 3 cm
We know that, the angle subtended in a semicircle is 90°.
$\Rightarrow \angle ACB=90°$
Using the pythagoras theorem,
${AC}^2+{BC}^2={AB}^2$
$4^2+3^2={AB}^2$
${AB}^2=16+9=25\Rightarrow AB=5cm.$