Question

true and false!

If the dimensions of a circle are tripled, the area of the resulting circle will also be three times larger

True or False


If a circle is enlarged to have a circumference that is four times the original, then the original radius was multiplied by four.

true or false

If a parallelogram is reduced to have dimensions that are half as long, then the perimeter is one fourth the original length

True or false?

Answer 1

were you able to get anywhere?

Answer 2

No

Answer 3

A = pi*r^2 ... original area

A = pi*(3r)^2 ... triple the radius

A = pi*9r^2

A = 9(pi*r^2)

so the area is not tripled, but multiplied by 9

Answer 4

so saying "If the dimensions of a circle are tripled, the area of the resulting circle will also be three times larger" is false

the area isn't tripled

Answer 5

awe thank you!

Answer 6

saying "If a circle is enlarged to have a circumference that is four times the original, then the original radius was multiplied by four." is true because


C = 2*pi*r ... original circumference

4*C = 4*2*pi*r ... quadruple the circumference (ie multiply both sides by 4)

4*C = 2*pi*(4r) ... and we can see that the radius has been multiplied by 4

Answer 7

I'll let you take on the last one. Tell me what you get and why you think that is the answer

Answer 8

The last one is false