Question

(2) Find the following ratios,
(i) The ratio of radius to circumference of the circle.
(ii) The ratio of circumference of circle with radius r to its area.
(iii) The ratio of diagonal of a square to its side, if the length of side is 7 cm.
(iv) The lengths of sides of a rectangle are 5 cm and 3.5 cm. Find the ratio of its
perimeter to area​

Answer 1

Answer:

1. 7:44

2. 2:r

3. √2:1

4. 17:175

Answer 2

Answer:

(i) 7:44

(ii)2:r

(iii)root 2: 1

(iv)17:17.5

Step-by-step explanation:

(i)radius : circumference = r : 2r ×22/7 = 7/44 = 7 : 44

(ii) circumference : area = 2×22/7×r : 22/7 × r × r

= 2:r

(iii) diagonal of square = 7 root 2

Side of square = 7

So, diagonal of square : side of square = 7 root 2 : 7

= 7 root 2/7 =root 2 : 1

(iv) Perimeter = 2(l+b) = 2(5+3.5) = 2 × 8.5 = 17 cm

Area = l × b = 5 × 3.5 = 17.5 cm

So,

Perimeter : Area = 17 : 17.5