Question

The dimension of the dance stage are $10 m$ by $6 m$ and it is rectangular in shape. The stage is divided into $15$ squares of equal size as shown in the figure. Out of these $15$ squares, $9$ squares will be occupied by $9$ student dancers. They will remain in their respective square while performing their folk dance.

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If at a point of time, a student uses a circular area in her assigned square as shown in the adjoining figure, then find:

The area left on $4$ corners by the dancer in her square.

If at a point of time, a student uses a circular area in her assigned square as shown in the adjoining figure, then find:

The area left on $4$ corners by the dancer in her square.

Accepted Answer

Given: The stage is divided into $15$ squares of equal size as shown in the figure.

The dimension of the dance stage are $10 m$ by $6 m$ and it is rectangular in shape.

Along breadth rectangle is divided into $9$ squares.

Clearly, side of each square $= 2 m$

Area of square $= 2 m \times 2 m = 4 m^{2}$

Clearly, the diameter of the circle is $2 m$

Radius $= 1 m$

Area occupied by the dancer $=$ Area of the circle

$\Rightarrow$ Area occupied by the dancer $= {πr}^{2}$

$= 3.14 \times 1 \times 1 m^{2}$

$= 3.14 m^{2}$

Now, the area left on four corners of the square $=$ Area of square $-$ Area of circle

$= 4 m^{2} - 3.14 m^{2}$

$= 0.86 m^{2}$

Therefore, the area left on four corners of the square $= 0.86 m^{2}$

Rupesh Pathak and Vaishali Bhatia Solutions for Chapter: Understand and Solve 2, Exercise 1: Exercise 1

Rupesh Pathak Mathematics Solutions for Exercise - Rupesh Pathak and Vaishali Bhatia Solutions for Chapter: Understand and Solve 2, Exercise 1: Exercise 1

Questions from Rupesh Pathak and Vaishali Bhatia Solutions for Chapter: Understand and Solve 2, Exercise 1: Exercise 1 with Hints & Solutions

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