Question

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

Answer 1

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.

Complete step-by-step answer:
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.

Additional information:
A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. A circle is also termed as the locus of the points drawn at an equidistant from the centre. The distance from the centre of the circle to the outer line is its radius. A circle is a basic 2D shape which is measured in terms of its radius. The circles divide the plane into two regions such as interior and exterior regions. It is similar to the type of line segment.

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$=\pi {{r}^{2}}$.