the diameter of two circles are 3.5 cm and 4.2 cm find the ratio of the area of the smaller Circle to that of the bigger circle
Answers
Answered by
24
area of smaller circle = πr1^2
area of bigger circle = πr2^2
=22/7 * 3.5 * 3.5 = 3.5*3.5= 0.5*0.5= 25
=22/7 * 4.2 * 4.2 =4.2*4.2 =0.6*0.6 = 36
ratio = 25:36
area of bigger circle = πr2^2
=22/7 * 3.5 * 3.5 = 3.5*3.5= 0.5*0.5= 25
=22/7 * 4.2 * 4.2 =4.2*4.2 =0.6*0.6 = 36
ratio = 25:36
goldberg2:
Please explain it in detail
Answered by
29
The ratio will be 25:36.
Given data:
Diameter of the smaller circle = 3.5 cm = 35 mm
Diameter of the bigger circle =4.2cm = 42 mm
So,
Radius of the smaller circle = (35/2) = 17.5 mm
Radius of the bigger circle = (42/2) = 21 mm
Area of the smaller circle = {π ×(17.5)²} = 962.5 mm²
Area of the bigger circle = {π × (21)²} = 1386 mm²
So,
The ratio = 962.5 : 1386 = 25:36 (answer)
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