Question

We have two circles A and X. The radius and perimeter of the circle A are b and c respectively.
The radius and perimeter of the circle X are y and z respectively. Consider the following ratios
K=c/b and L=Z/y.
Which of the following statements is true? *
K>L
K K=L
K=2L

Answer 1

Answer:

$K = L$

Step-by-step explanation:

Given

Circle A

$r = b$ --- radius

$p = c$ ---- perimeter

Circle B

$r = y$ --- radius

$p =z$ --- perimeter

$K = \frac{c}{b}$

$L = \frac{z}{y}$

Required

Select the true option

The perimeter of a circle is:

$Perimeter = 2\pi r$ ------ the circumference

So, we have:

$c = 2\pi b$ --- circle A

$z = 2\pi y$ --- circle B

Calculate K

$K = \frac{c}{b}$

$K = \frac{2\pi b}{b}$

$K = 2\pi$

Calculate L

$L = \frac{z}{y}$

$L = \frac{2\pi y}{y}$

$L = 2\pi$

So, we have:

$K = L = 2\pi$