Question

The two sides holding the right-angle in a right-angled triangle are 3 cm and 4 cm long. The area of its circumcircle will be:

• A. $5π$cm^2$$
• B. $7π$cm^2$$
• C. $6.75π$cm^2$$
• D. $6.25π$cm^2$$

Answer 1

Answer:

$6.25π$cm^2$$

The two sides holding the right angle in a right-angled triangle are 3 cm and 4 cm long,

⇒ Length of hypotenuse = (3² + 4²)^1/2 = 5 cm

⇒ Radius of circum-circle $=\frac{5}{2}=2.5 cm$

∴ Area $=\frac{22}{7}\times{(2.5)^2}$= 6.25π cm²