Rani bought a new field that is next to one she already owns (Fig.). This field is in the shape of a square of side 70m. She makes a semi circular lawn of maximum area in this field. (i) Find the perimeter of the lawn. (ii) Find the area of the square field excluding the lawn. 

1 = 440

2 = 4900cm^{2}

Step-by-step explanation:

square = 280cm perimeter and area

semi circle would have radius = 70cm

perimeter of semi circle =

pi x (70x2) = 440cm

but if its with the square it would be 650cm

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).