Question

Prove that the two circles shown below are similar.

Answer 1

Answer:

Well we need to find the area of circles B and D

We’ll use the following formula,

$\pi r^2$

B)

The radius of the

is circle is 4 units,

so we plug 4 into $\pi r^2$.

pi(4)^2

4*4 =16

16 * pi = 50.2654824574

The answer is 50 rounded to the nearest whole number.

D)

The radius is 2,

pi(2)^2

2*2 = 4

pi * 4 = 12.5663706144

Or 13 Rounded to the nearest whole number.

So now we do 50 ÷ 13 = 3.84615384615

Which is about 4 rounded to the nearest whole number.

Thus,

The two circles are similar just that circle D is multiplied by a scale factor of 4 to get circle B

Answer 2

Answer:

They have a scale factor of 2

They are both the same shape

The big circle has a radius of 4 and the small circle has a radius of 2. You divide the bigger circle by the smaller circle. 4/2=2