Answer :
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
[tex]\frac{c}{c'}[/tex] = 5
d' = 20
∴ circumference of circle = [tex]2\times \Pi \times r[/tex] = [tex]\Pi \times d[/tex]
Or, [tex]\frac{c}{c'}[/tex] = [tex]\frac{2\pi r }{\pi d'}[/tex]
Or, 5 = [tex]\frac{2r}{d'}[/tex]
Or, 5 = [tex]\frac{2r}{20}[/tex]
∴ 2 × r = 5 × 20
I.e r = 50
Hence The value of radius r is 50 Answer
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'
[tex]\frac{C}{C'} = \frac{\pi \times d}{\pi \times d'} \\\implies5 = \frac{d}{20} \implies d = 100[/tex]
⇒ d = 100
As D = 2 x Radius .⇒ r = d/2 = 100/2 = 50
or, r = 50
Hence, the value of r = 50 units.