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MissTica
3 years ago
9

A circle has an area of 256 square inches. If the radius of

Mathematics
1 answer:
RSB [31]3 years ago
6 0

Answer:

Option C (4096π in²)

Step-by-step explanation:

Area of the circle = 256π in²

We know that Area=\pi r^{2} , where r = radius of the circle

So,

256\pi  = \pi r^{2}

Cancelling π from both the sides,

=> r^{2} = 256

=> r = \sqrt{256} = 16

The radius of the circle = 16 in.

When the radius is multiplied with 4 , new radius = 16×4 = 64 in.

New Area = \pi (64)^{2} =4096\pi \: in^{2}

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Hey there! I'm happy to help!

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