Question

The area of the circumcircle of a right angle triangle whose sides are 6 cm, 8 cm and 10 cm will be:

• A. 9π sq.cm
• B. 25π sq.cm
• C. 24.5π sq.cm
• D. 16π sq.cm

Answer 1

Answer:

B. 25π sq.cm

In the figure, AB = 8 cm, BC = 6 cm and CA = 10 cm

We can observe that AC is the diameter of the circumcircle.

∴ Radius of circumcircle = OA = OC $=\frac{10}{2} = 5 cm$

∴ Area of circumcircle $=π\times{5^2}$= 25π cm²