Write the following ratios in the reduced form.
i. Radius to the diameter of a circle.
ii. The ratio of diagonal to the length of a rectangle, having length 4 cm and breadth 3 cm.
iii. The ratio of perimeter to area of a square, having side 4 cm.
(i) Let r be the radius of the circle.
Let d be the diameter of the circle.
Diameter = 2 × Radius
∴ Ratio of radius to diameter in the reduced form = Radius:Diameter
∴ Ratio of radius to diameter in the reduced form = 1:2
(ii) Given: Length of rectangle = l = 4 cm
Breadth of rectangle = b = 3 cm
Diagonal of rectangle = √(l2 + b2)
= √(16 + 9)
= √25 = 5
∴ Diagonal of rectangle = 5 cm
Ratio of diagonal to the length of a rectangle = 4:5
(iii) Given: Side of square = 4 cm
Perimeter of square = 4 × Side = 4 × 4 = 16 cm2
Area of the square = (Side)2 = (4)2 = 14 cm2
The ratio of perimeter to area of a square = 16:14 = 8:7
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