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What happens to the area of a circle when the radius is tripled?

AThe are is multiplied by 3.
BThe are is multiplied by 9.
CThe area is divided by 3.14
DThe area is divided by 3.

Verified Answer :

The best and most correct answer among the choices provided by your question is the second choice or letter B.

The area of the circle is multiplied by 9, when its radius is tripled.

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Answer:

The area is multiplied by 9.

Step-by-step explanation:

the area of a circle when the radius is tripled

Formula for the area of a circle is \(\pi r^2\)

'r' is the radius of the circle

When the radius of the circle is tripled then radius becomes 3r

Plug in 3r for 'r' in the formula of area of circle

area of a circle= \(\pi r^2\)

area of a circle when radius tripled = \(\pi (3r)^2\)

=  \(\pi *9r^2\)

= \(9\pi r^2\)

area of a circle when radius tripled = 9 * area of a circle

The area is multiplied by 9.

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