A circle with a radius of 1/2ft is dilated by a scale factor of 8. Which statements about the new circle are true? Check all that apply. The length of the new radius will be 4 feet. The length of the new radius will be 32 feet. The new circumference will be 8 times the original circumference. The new circumference will be 64 times the original circumference. The new area will be 8 times the original area. The new area will be 64 times the original area. The new circumference will be feet. The new area will be square feet.

According to the given statement the radius of the circle before dilation is 1/2ft and the scale factor is 8. The dilation by scale factor 8 means the radius of new circle is 8 times of the original circle(4ft)

The circumference of the circle is 2πr.

If we replace r by 8r and substitute it in the formula then the circumference will be:

C=2π(8r)

C=8*(2πr)

It means the circumference is 8 times the original circumference.

Now put the value of original circle radius in this new circumference we get:

C=8*(2πr)

C=8*(2π*1/2)

C=8πft

Now the area of the circle = πr^2

Now put the value of r replaced by 8r in the formula.

A=π(8r)^2

A=64πr^2

Thus the area will be 64 times by the original circle area

If we plug the value of original circle radius in this new formula of area we get.

A=64πr^2

A=64π(1/2)^2

A= 16πft^2

Thus the correct statements are: A, C, F,G,H....

rexdestoryer rexdestoryer · Answer 2 · 2020-11-19T17:18:14+01:00

rexdestoryer rexdestoryer

19-11-2020

Answer:

The answer above is correct.. give them brainleist!!!

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