Question

Given a circle with measures of (C, d, and r) and a circle with measures of (C', d', and r'), what is r if C C' = 5 and d' = 20? A) 10 B) 25 C) 50 D) 100

Answer 1

Answer:

The value of radius r  is 50

Step-by-step explanation:

Given as :

The measure of two circles as

Circumference = c                          Circumference = c'                          

Diameter = d                                    Diameter = d'    

Radius = r                                          Radius = r'

And

$\frac{c}{c'}$ = 5

d' = 20

∴  circumference of circle = $2\times \Pi \times r$  = $\Pi \times d$

Or, $\frac{c}{c'}$ = $\frac{2\pi r }{\pi d'}$

Or,  5 = $\frac{2r}{d'}$

Or,  5 =  $\frac{2r}{20}$

∴  2 × r = 5 × 20

I.e       r = 50

Hence The value of radius r  is 50  Answer

Answer 2

Answer:

C)  The value of r = 50 units.

Step-by-step explanation:

Measure of Circle 1 are  (C, d, and r)

and Measure of Circle 2 are  (C', d', and r')

Also, C /C' = 5 and d' = 20

CIRCUMFERENCE OF A CIRCLE = 2 π x RADIUS

  = π x DIAMETER      (as D = 2 x Radius)

Circumference of Circle 1 :  C   = π  x  d

Circumference of Circle 2 : C'  = π x  d'

$\frac{C}{C'} = \frac{\pi \times d}{\pi \times d'} \\\implies5 = \frac{d}{20} \implies d = 100$

⇒ d  =  100

As D = 2 x Radius  .⇒ r  = d/2 = 100/2  = 50

or, r  = 50

Hence, the value of r = 50 units.