Question

In a circle, the circumference and diameter vary directly. How do you find the diameter of a circle with a circumference of 154 if you know that in a second circle the diameter is 14 when the circumference is 44?

Answer 1

`D = 49`

Explanation:

`C = kD`

`C_1 = 154 = kD_1`

`C_2 = 44 = k(14)`

`=> k = 44/14 = 22/7`

`C_1 = 154 = 22/7D_1`

`D_1 = 154*7/22`

`D_1 = 49`