Question

Mary has to cut out circles of diameter $1\frac{1}{4}\text{cm}$ from an aluminum strip of dimensions $6\frac{1}{4}\text{cm}\times 1\frac{1}{4}\text{cm}$. Approximately how many circles can Shalini cut?

• A. $5$
• B. $6$
• C. $3$
• D. $4$

Answer 1

The correct option is A $5$

Let $x$ be the number of circles that can fit in the rectangle.
Total length of rectangle $=6\frac{1}{4}=\frac{25}{4}\text{cm}$

Diameter of circle = Width of the rectangle $=1\frac{1}{4}=\frac{5}{4}\text{cm}$

From the figure we can see that,
Length of rectangle = Diameter of the circle $\times$ Number of circles that can fit

$\frac{25}{4}=\frac{5}{4}\times x$

$x=\frac{\frac{25}{4}}{\frac{5}{4}}$

$=\frac{25}{4}\times \frac{4}{5}$

$=5$

Approximately Shalini can cut $5$ circles.