Question

Calculate the area enclosed by the circle represented by

$(x+2{)}^2+(y+3{)}^2=25$

• A. $4\pi$
• B. $5\pi$
• C. $16\pi$
• D. $25\pi$

Answer 1

The correct option is D $25\pi$

Comparing given circle with $(x-h{)}^2+(y-k{)}^2=r^2$

We get the center of the circle be $(-2,-3)$ and radius, $r=5$

Hence, area of the circle is $=\pi r^2=25\pi$ sq. unit