3. Rani bought a new field that is next to one she already owns (see the Fig.). This field is in the shape of a square of side 70 m. 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.
Answers
Answered by
4
(i). perimeter of semi circle = 180m
(ii). 2975m²
Step-by-step explanation:
1. Diameter of Semicircle is equal to side of square.
perimeter of semicircle = [(Perimeter of Circle)/2 + Diameter]
πR+D
2. Area of Square 70×70=4900
Area of semicircle = πr²/2
(22/7 × 35 × 35) ÷ 2
3850÷2 = 1925
Area of Square field excluding lawn= 4900 - 1925 = 2975
Similar questions