A sheet is 11 cm long and 2 cm wide. Circular pieces 0.5 cm in diameter are cut from it to prepare discs. Calculate the number of discs that can be prepared.

Given,

Diameter of circle = 0.5 cm.

From figure,

Area of sheet required to cut a circle = area of a square with length of side equal to diameter.

∴ No. of discs prepared = No. of squares formed from sheet.

No. of squares that will be formed from sheet = $\dfrac{\text{Area of sheet}}{\text{Area of a square}}$

$\text{No. of squares } = \dfrac{11 \times 2}{0.5 \times 0.5} \\[1em] = \dfrac{22}{0.25} \\[1em] = 88.$

Hence, no. of discs that can be prepared = 88.