The radius of a circle whose area is numerically 110 more than its circumference is
Answer & explanation
Correct answer: option 2
Area of a circle = $πr^2$
Circumference of circle = $2πr$
Now, according to question:
$πr^2-2πr=110$
$πr(r-2)=110$
$\frac{22}{7}r(r-2)=110$
$r(r-2)=7×5$
Now, check from the given options, we can easily find the value of r.
i.e. $r=7$