Question

Find the area, to one decimal place, of a 5 cm square with a 1 cm hole cut at the center

Answer 1

Answer:

Area of the square with the hole is 4.2 square units

Step-by-step explanation:

Given:

Side of the square =  5 cm

Diameter of the hole  =  1 cm

To Find:

Area of the square with the hole = ?

solution

Step 1: Finding the area of the square

Area of the square  = $s^2$

Area of the square  = $(5)^2$

Area of the square  =  25 square units

Step 2: Finding the area of the hole

Area of the hole =$\pi (r)^2$

Area of the hole =$\pi (0.5)^2$            $[ \because radius = \frac{diamter}{2}]$

Area of the hole = 0.785 square units

Step 3: Finding the Area of the square with the hole

Area of the square with the hole =   area of the square  -  area of the hole

Area of the square with the hole =   25  -  0.785

Area of the square with the hole =   4.215 square units

Area of the square with the hole =   4.2 square units (rounding off to one decimal)