The respective ratio between the circumference of a circle and the perimeter of a square is 11 : 12 if the radius of the circle is 5m less than the side of the square, what is the area of the square ?
Answers
Answered by
1
Answer:
49.82m2
Step-by-step explanation:
circumference is given by; 2πr
perimeter of the square is given by; 4l
ratio of C:P=11:12
r= l - 5
therefore ;
C/P = 11/12
2πr/4l = 11/12
2π×(l - 5)/4l = 11/12
l - 5/l = 11/12 ×7/22
12l - 60 = 3.5l
8.5l = 60
l = 7.058m
area of square= l^2
= (7.058)^2
= 49.83m2
Similar questions