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Answered

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A circle has an area of 256 square inches. If the radius of
the circle is multiplied by 4, what will be the area of the new
circle formed?
OA) 890 in.
OB) 1520 in.
OC) 4096 in
OD 5360 in.

A Circle Has An Area Of 256 Square Inches If The Radius Of The Circle Is Multiplied By 4 What Will Be The Area Of The New Circle Formed OA 890 In OB 1520 In OC class=

Sagot :

Dead3ill

Answer:

Option C (4096π in²)

Step-by-step explanation:

Area of the circle = 256π in²

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

So,

[tex]256\pi = \pi r^{2}[/tex]

Cancelling π from both the sides,

[tex]=> r^{2} = 256[/tex]

[tex]=> r = \sqrt{256} = 16[/tex]

The radius of the circle = 16 in.

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

New Area = [tex]\pi (64)^{2} =4096\pi \: in^{2}[/tex]

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