Question

An archery target has three concentric regions. The diameters of the regions are in the ratio 1:2:3. Find the ratio of their areas

Answer 1

1:4:9 as area is proportional to square of the diameters

Answer 2

But in the book it said the ratio is 1:3:5

Answer 3

we need to find areas of circular strip regions. not the whole circles.

Answer 4

yes u r right ...my bad..

Answer 5

diameters are in ratio, \(1 \color{red}{:} 2 \color{red}{:} 3\)

ratio of area of regions : \(\pi (d/2)^2 \color{red}{:} \pi (2d/2)^2 - \pi (d/2)^2 \color{red}{:} \pi (3d/2)^2 - \pi (2d/2)^2\)

Answer 6

see if that makes sense

Answer 7

I don't understand

Answer 8

ok area of circle = \(\pi (d/2)^2\)

Answer 9

ok wid that ?

Answer 10

I got confused about ratio of area of regions

Answer 11

yea we will get to that :) so u familiar wid circle area formula already

Answer 12

yes