question_answer

A square park has each side 50 m. At each corner     of the park, there is a flower bed in the form of a quadrant of radius 7 m, as shown in the figure. Find the area of remaining part of the park.

A) 2346 sq m        

B) 2340 sq m

C) 2250 sq m                    

D) 2155 sq m

E) None of these

Correct Answer: A

Solution :

As four quadrants make a circle.

\[\therefore \]Area of park without flower bed

= Area of square\[-\]Area of circle

\[=\left[ {{(50)}^{2}}-\left( \frac{22}{7}\times 7\times 7 \right) \right]\]

\[=[2500-154]=2346\,\,\text{sq}\,\,\text{m}\]

\[\therefore \]Area of remaining part \[=2346\,\,\text{sq}\,\,\text{m}\]