Question

(A) Solve the following problems :
1. The ratio of the diameters of two circles is 3:4. Find the ratio of their circumferences
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Answer 1

Answer:

When comparing 2 similar figures, the ratio of any corresponding lengths will have the same ratio. So the ratio of the circumferences would also be 3:4. However, the ratio of the circle's areas would be those numbers squared, so the ratio of their areas would be 3²:4² = 9:16.02

Explanation :

The ratio of the radii of the circles = 3:5

Radius of first circle = 3x

Radius of second circle = 5x

Circumference = 2πr

=2π × 3x = 6πx

circumference of second circle = 2πr

= 2π × 5x = 10πx

Ratio between their circumference

= 6πx : 10πx

= 16:10

= 3:5 Ans