the diameter of two circles in the ratio of1:2 find the ratio of their circumference and areas
Answers
Hear is your solution:-
Given:- ratio of diameters = 1:2
To find:- ratio of their circumference
Solution:- Let the diameter of the 1st circle be D1 and circumference be C1
Similarly, for 2nd circle diameter be D2 and circumference be C2
Therefore, D1/D2=1/2
Now, circumference of circle= 2πR
= 2πR/2
= πD
Therefore, C1/C2=πD1/πD2
C1/C2=D1/D2
C1/C2=1/2
- Also area of circle= πR^2
= π(D/2)^2
Therefore, A1/A2=[π(D1/2)^2]/[π(D2/2)^2]
A1/A2=(D1/2)^2 * (2/D2)^2
A1/A2=D1^2/D2^2
A1/A2=(1/2)^2
A1/A2=1/4
Hence the ratio of their circumferences is 1:2, and the ratio of their areas is 1:4
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