Question

The radius of a circle is multiplied by 10. Its area is _____ times bigger than the original circle.

Answer 1

would it 100

Answer 2

The ratios of the areas is simply the ratio of the sides/radius.

Answer 3

Yep, 100.

Answer 4

Yes.

Answer 5

thank you

Answer 6

\( \color{Black}{\Rightarrow r = 1 \Longrightarrow Area = 3.14 }\)

\( \color{Black}{\Rightarrow r = 10 \Longrightarrow Area = 3.14 \times 100 = 314}\)

Answer 7

We can try these out with radii/sides too.

Answer 8

If a ratio is given as 1:5, then just assume that r = 1 and r = 5, and find the areas respectively.

Answer 9

The ratios for sides and areas differ. The ratio when something happens to side measures or lengths, the effect is squared in the area.\[Sides: \frac{a}{b} \rightarrow \frac{1}{10}\]\[Area: \frac{a^2}{b^2} \rightarrow \frac{1}{100}\]

Answer 10

ok thank you both for the explanation

Answer 11

np :)