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

Last updated date: 25th Jun 2024
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Hint: We have given that there are four circular windows in Nisha’s house each of radius $28$cm are to be fitted. Now we have radius, find the area of one circular window and after that find the area of four circular triangles.

We are given that, there are four circular windows in Nisha’s house each of radius $28$cm are to be fitted.
Now since the window is circular, the area of the circle will be $\pi {{r}^{2}}$.
Area of circular window$=\pi {{r}^{2}}$
Now here we have, $r=28$cm.
Area of circular window$=\pi {{(28)}^{2}}$
Now we know that, ${{(28)}^{2}}=784$
Area of circular window$=\dfrac{22}{7}\times 784$
Now simplifying we get,
Area of circular window$=22\times 112$
Area of circular window$=2464$sq. cm
Now since the number of windows is $4$.
So, Area of four circular window$=4\times 2464$ sq. cm
Area of four circular window$=9856$ sq. cm
Therefore, the area of four circular windows is $9856$sq.cm.

Note: A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. Every line that passes through the circle forms the line of reflection symmetry. Area of a circle is the amount of space occupied by the circle. The circle formula to find the area is given by Area of a circle$=\pi {{r}^{2}}$.