Question

The circumference of two circles are in the ratio of 2:5. The radius of the smaller circle is 16 in. What is the radius of the larger circle?

Answer 1

Answer:

40 inches

Step-by-step explanation:

The radius of the larger circle is 40 inches.

Get first the circumference of the smaller circle.

C = 2πr; Where π = pi; r = radius

   = 2(3.14)(16)

C = 100.48

Now get the circumference of the bigger circle using ratio:

  2/5 = 100.48/C

  2C = 502.4

2C/2 = 502.4/2

    C = 251.2

Using the circumference, compute for the radius of the larger circle:

r = C/2π; Where C = circumference; π = pi

 = 251.2/2(3.14)

 = 251.2/6.28

r = 40

To check:

     C = 2(3.14)(40)

251.2 = (6.28)(40)

251.2 = 251.2

simpler step :

2x = 16

x = 8

5x = 5 * 8

    = 40 inches

Answer 2

Pls mark as brainliest answer