Question

Find the area of the circle shown in the figure, whose equation is ${(x-4)}^2+{(y-4)}^2=25$.

• A. $5\pi$
• B. $10\pi$
• C. $16\pi$
• D. $25\pi$

Answer 1

The correct option is D $25\pi$

Given equation $(x-4{)}^2+(y-4{)}^2=25$

The general equation of a circle $(x-h{)}^2+(y-k{)}^2=r^2$ when compared with the given equation, we get the radius of the circle to be $5$.

Thus, the area of the circle is given by $\pi r^2=25\pi$