Question

A park is in the form of rectangle 120m×100m. At the centre of the park there is a circular lawn. The area of park excluding lawn is 8700 metre square. Find the radius of the circular lawn.( Use π=22/7 ).

Answer 1

Answer:

The radius of circular lawn is 32.4 m.

Step-by-step explanation:

Given :  

Area of park excluding lawn , A = 8700 m²

Length of rectangular park = 120 m  

Breadth of rectangular park = 100m  

Area of rectangular park , A1 = l x b  

A = 120 x 100

A = 12000 m²

Let 'r' be the radius of circular lawn.

Area of circular lawn  A2 = πr²  

Area of remaining park excluding lawn = (area of rectangular park) – (area of circular lawn)  

A = A1 - A2

8700 = 12000 – πr²

πr² = 12000 – 8700  

πr² = 3300  

22/7 x r² = 3300  

r² = 150 x 7

r² = 1050  

r = √1050

r = √25 × 42

r = 5√42 m

r = 5 × 6.48

r = 32.4 m  

Radius of circular lawn = 32.4 m

Hence, the radius of circular lawn is 32.4 m.

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Answer 2

Answer:

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