V2 0 7 In the figure above a triangle is inscribed in a circ

V2 0 7. In the figure above, a triangle is inscribed in a circle with center O. What is the area of the circle? (A) (B) (C) (D) ./2 (E) 2 /2

Solution

Lets first find the radius of circle or the diameter

We know for a triangle inscribed in a circle with diameter as hypotensue: It makes a right triangle

So, PR^2 = sqrt(2)^2 + sqrt(2)^2

PR^2 = 4

PR = 2

7) Area of circle is :

pi*r^2

=pi*(2/2)^2

=pi

C is true