Question

The ratio of the areas of two circles is 25:16. What number, when multiplied by the smaller diameter, will give the larger diameter?

Answer 1

hint : for similar figures, if areas are in ratio \(a~ : ~b\) , then lengths will be in ratio \(\sqrt{a} : \sqrt{b}\)

Answer 2

hint2 : all circles are similar

Answer 3

u figured out the number to be multiplied ? :)
wud like to see wat u got

Answer 4

Thanks :) But would 5/4 be the correct answer?

Answer 5

clearly diameters will be in ratio 5 : 4

say, diameters are 5, 4

so to get to 5,
we can multiply 4 wid 5/4

Answer 6

you're right !

Answer 7

Thank You!

Answer 8

np :) good job !!