the sum of circumference of four small circles of equal circle 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
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Answered by
178
Hey there!
4 Circles (small) have radius = r
Circle's (big) radius = R
Circumference of circle is = 2πr
ATQ,
4 × 2πr = 2πR
R = 4r
So, R/r = 4 -----(1)
Area = area of Bigger circle/area of Small circle
=
(Using eqn. 1)
= 4 × 4 : 1
= 16 : 1
Hence,
The required ratio is 16:1
HOPE IT HELPED ^_^
4 Circles (small) have radius = r
Circle's (big) radius = R
Circumference of circle is = 2πr
ATQ,
4 × 2πr = 2πR
R = 4r
So, R/r = 4 -----(1)
Area = area of Bigger circle/area of Small circle
=
= 4 × 4 : 1
= 16 : 1
Hence,
The required ratio is 16:1
HOPE IT HELPED ^_^
Answered by
23
Answer: thanks
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