Question

The ratio of the radii of two circles is 2:3. The diameter of the smaller circle is 15 mm. What is the length of the diameter of the larger circle? 10.00 mm 11.25 mm 22.50 mm 30.00 mm

Answer 1

The diameter of the larger circle is 22.50 mm

Step-by-step explanation:

Given;

ratio of radii of two circles = 2:3

diameter of the smaller circle, d = 15 mm

let the diameter of the larger circle = D

The ratio of the radii of the two circles is given by;

Therefore, the diameter of the larger circle is 22.50 mm

Explanation:

Answer 2

The diameter of the larger circle is 22.50 mm

Explanation:

Given;

ratio of radii of two circles = 2:3

diameter of the smaller circle, d = 15 mm

let the diameter of the larger circle = D

The ratio of the radii of the two circles is given by;

`(2r)/(2R)= (d)/(D)= (2)/(3)\\\\ D= (3d)/(2)\\\\ D = (3*15)/(2) \\\\D = 22.50 \ mm`

Therefore, the diameter of the larger circle is 22.50 mm