1.

Find the area of the circumcircle of a right triangle, if the base of the triangle is 1 cm and perpendicular of the triangle is 2 cm.1. 5π/4 cm22. 2π/3 cm23. π/2 cm24. 7π/4 cm2

Answer» Correct Answer - Option 1 : 5π/4 cm2

Given:

Perpendicular = 2 cm and base = 1 cm

Formula used:

Radius of circumcircle of right angled triangle = Hypotenuse/2

Area of circle = πr2

Calculation:

(Hypotenuse)2 = (perpendicular)2 + (base)2

⇒ (1)2 + (2)2

⇒ √5 cm

Radius of circumcircle = √5/2

Area of circle = π(√5/2)2

⇒ 5π/4 cm2

∴ The area of circle is 5π/4 cm2


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