the sum of circumferences of four small circles of equal radius is equal to the circumference of a bigger circle. find the ratio of the area of the bigger Circle to that of the smaller circle
Answers
Answered by
12
Answer:
Step-by-step explanation:
Let radius of small circles be r
Therefore
Circumference of small circle = 2πr
Let radius of bigger circle be R
Therefore
Circumference of bigger circle = 2πR
Given that
4x2πr=2πR
=> 4r=R ...(1)
Now area of smaller circle =A1= 2πr^2 ...(2)
Area of bigger circle= A2 = 2πR^2
= 2π(4r)^2 (from 1)
= 2π x 16 r^2
= 16 x 2πr^2
= 16 x A1 ...(from 2)
Therefore 16A1 = A2
A2/A1 = 16 or A2:A1= 16:1
gyanranjan78:
thankyou so much
Answered by
2
Answer:
area = circumference
πr^2 = 2πr
r^2 = 2r
r =2
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