Question

if the area of a circle and a square are 154 Cm² and 81 cm² then find the ratio of circumference of the circle to the perimeter of square​

Answer 1

ANSWER

Areaofthecircle=πr

2

7

22

×r

2

=154

r=7cm

Circumferenceofthecircle=2πr=2×

7

22

×7=44cm

Answer 2

Answer:

11:9

Step-by-step explanation:

given:-

Area of Circle (A1) = 154cm²

A1 = πr² (r is radius of circle)

154 = 22/7 × r² (value of π = 22/7 or 3.14)

r² = 154×7/22

r² = 7×7

r² = 49

r = √49 = 7 cm

circumference = 2πr = 2×22/7×7 = 44cm

Area of square (A2) = 81cm²

A2 = s×s (s is length of side of square)

81 = s²

s² = 81

s = √81 = 9cm

Perimeter of Square = 4×s = 4×9 = 36cm

Ratio of circumference of circle to the perimeter of square = 44/36 = (11×4)/(9×4) = 11/9×4/4 = 11/9×1 = 11/9 = 11:9