Question

If the area of triangle $XOY$, where $O$ is the centre of circle, is $25$ square units, then the area of circle is

• A. $25\pi$
• B. $25\pi \sqrt{2}$
• C. $50\pi$
• D. $625\pi$

Answer 1

The correct option is C $50\pi$

Given: Area of the triangle $=25$
Consider that the triangle each leg is a radius of the triangle as $r$.
Then area of the triangle $=$ $\frac{r^2}{2}$
$\Rightarrow 25=\frac{r^2}{2}$
$\Rightarrow r^2=50$
Now, area of the circle = $\pi r^2$
We know the value of $r^2$.
So, the area of the circle $=$ $50\pi$