Question

The radius of the circle of largest area that can be cut out from a rectangle of dimensions $10\text{cm}\times 5\text{cm}$ is

• A. $5\text{cm}$
• B. $10\text{cm}$
• C. $2.5\text{cm}$
• D. $7.5\text{cm}$

Answer 1

The correct option is C $2.5\text{cm}$


The diameter of the circle of largest area that can be cut out from a rectangle of $10\text{cm}\times 5\text{cm}$ is $5\text{cm}$.
Diameter $=2\times$ Radius
$\Rightarrow$ Radius $=\frac{5}{2}=2.5\text{cm}$

Hence, the correct answer is option c.