Question

If the area of a semi-circular field is 15400 sq m, then perimeter of the field is: |(a) 160/7m (c) 360 /2m (b) 260/2 m (d) 460 /7m

Answer 1

Step-by-step explanation:

Given If the area of a semi-circular field is 15400 sq m, then perimeter of the field is: |(a) 160/7 m (c) 360 /2 m (b) 260/2 m (d) 460 /7 m

• Area of semi-circle = πr^2 / 2
• Perimeter of semi-circle = πr + 2r
• Now πr^2 / 2 = 15,400
• So π r^2 / 2 = 15,400
• So r^2 = 15400 x 2 x 7 / 22
• So r^2 = 7 x 7 x 100 x 2
• So r = 70 √2 m
• Now perimeter = π r + 2 r
•                        = 22/ 7 x 70 √2 + 2 (70 √2)
•                        = 220 √2 + 140 √2
•                          = 360 √2 m

Therefore perimeter of semi-circle will be 360 √2 m  

Reference link will be

https://brainly.in/question/15422862