Question

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 8x feet

The new area will be 16 square feet

Answer 1

The length of the new radius will be 4 feet

PROOF: (1/2)(8)=4 ft

.

Answer:

The new circumference will be 8 times the original circumference

PROOF:

(1) Original

=pi*(1/2)

=1/2pi ft.

(2) New One.

=pi(4)

=4pi ft.

So, 4pi/(1/2)pi=8

.

Answer:

The new area will be 64 times the original area

PROOF: 8^2=64

.

Answer:

The new area will be 16π square feet

PROOF:

r=4ft

a=pi(4)^2

a=16pi ft^2

.

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Hope This Helps <3