Question

Find the perimeter of the lawn
Find the area of the square field excluding the lawn
​

Answer 1

Answer:

(i) Given, Side of a square =70m

From the given figure.

Diameter of semi-circle =70m

So, Side of square = Diameter of semi-circle =70m

So, radius of lawn=35m

Hence, perimeter of the lawn =diameter+semiperimeter of circle

=70+

2

1

×2πr=70+

7

22

×70=70+220=290m

(ii) Area of square =70×70=4900m

2

Hence, required area Area of square - area of semicircle

=4900−

2

1

×π×r

2

=4900−

2

1

×

7

22

×(35)

2

=4900−1925

=2975m

2

solution