Question

There are four circular windows in Nisha’s house, each of radius $28cm$ are to be fitted. Find the area.

Answer 1

Hint: Here from the given radius, we will find the area of one circular area and then the total area for the four circular windows. Use formula for the area, $A = \pi {r^2}$ . Place the given values in the formula and simplify for the required answer.

Complete step-by-step answer:
Radius of the circular window is $r = 28cm$
The area of the circular window is –
$A = \pi {r^2}$
Place the value of the radius and simplify –
$A = \dfrac{{22}}{7} \times 28 \times 28$
Take common factors from both the numerator and denominator and remove them.
$A = 22 \times 4 \times 28$
Simplify the above equation –
$
   \Rightarrow A = 88 \times 28 \\
   \Rightarrow A = 2464c{m^2} \\
 $
Thus the area of one circular window is $ = 2464c{m^2}$
Here, four circular windows are fitted,
Therefore, area of four windows $ = 4 \times A$
Place the values in the above equation –
Area of four circular windows $ = 4 \times 2464$
Simplify the above equation –
Area of four circular windows $ = 9856c{m^2}$
Hence, the required answer – the area of the four circular windows is $9856c{m^2}$
Additional information:
Diameter is twice that of the radius. Each and every point on the circle is equi-distant from the centre of the circle and is known as the radius. Diameter is the longest chord of the circle. The area of the circle can be expressed as the region or the space occupied by the circle.

Note: Do not forget to write the applicable square units in the resultant area. Remember the basic standard formulas to solve these types of problems. Correct formula is the most important requirement. Substitute values and simplify the equation carefully for the correct resultant value.