Governing council of a local public development authority of Dehradun decided to build an adventurous playground on the top of a hill, which will have adequate space for parking.

After survey, it was

Question

Governing council of a local public development authority of Dehradun decided to build an adventurous playground on the top of a hill, which will have adequate space for parking.

After survey, it was decided to build rectangular playground, with a semi-circular area allotted for parking at one end of the playground. The length and breadth of the rectangular playground are 14 units and 7 units, respectively. There are two quadrants of radius 2 units on one side for special seats.

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Based on the above information, answer the following questions:

(i) What is the total perimeter of the parking area?

Accepted Answer

Step 1: Parking area is a semi-circle with diameter $= 7$ units, so $r = \frac{7}{2}$. Total perimeter $= \pi r + 2r = \frac{22}{7} 	imes \frac{7}{2} + 7 = 11 + 7 = 18$ units

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