Question

Rani bought a new field next to one she already owns .this field in the shape of a square of side 70 m.she makes a semi circular lawn of maximum area in this field .1find the perimeter of the loan2 find the area of the square field including the loan


plz friends do it fast with a nicemethod that makes me able to understand.

Answer 1

(since she makes a semi circle in max area... it's diameter would be 70 at last.)
side of field= 70m
so dia. of semicircle= 70 m
perimeter of semi circle=. π ×r
= 22/7×70/2= 22/7×35= 22×5 = 110m
2)..
area of square field = side ×side= 70×70= 4900 sq. m

Answer 2

area of square field = (side) square
area = 70×70 = 4900sqm
the lawn will get form in semicircular shape
radius of circular loan = 70/2 = 35
therefore circumference of circular lawn = 2π× 35/ 2. = 110 m
area of lawn = π r square \ 2
22/7×35×35 / 2
= 1925 sqm