If the diameter of a circle is doubled, then its area becomes ____ times larger?

Answer 1

diameter doubled, radius doubled Apir^2,
area becomes 4 timesl arger

Answer 2

If the diameter is doubled, then the area is increased by 4 times because the formula for area squares the radius.

For d = 2, r (=d/2) = 1, so the area a = pi*r^2 = pi * 1^2 = pi.

For d = 4, r = 2, so the area a = pi*r^2 = pi * 2^2 = 4pi

For d = 8, r = 4; area a = pi*r^2 = pi * 4^2 = 16pi.

Hope that helps.

Answer 3

4

Answer 4

A = (d/2)^2 pi

If the diameter doubles, the area goes up 4 times.

Answer 5

Approach this with what you know and plug in some random easy to use numbers..

If the diameter is, let's say, 4 units the the area is pi* radius squared. So that equals 50.2654 units.

Now double the diameter. If its 8 units not the area is 201.0619 units.

So the area quadrupled.

Answer 6

If the diameter is doubled then the area is 4 times larger
Area= 3.14 x (radius)^2

= 3.14 x (2r)^2
= 3.14 x 4(radius)^2

* 3.14=pi

So compared to the first equation, the area is 4 times larger.

Answer 7

4 times.

Let the diameter be d.
area of a circle = Pi(d/2)^2
= Pi.d^2/4 - eq(1)

if diameter = 2d
area of the circle = Pi(2d/2)^2
= Pi.d^2 - eq(2)

Ratio of the 2 areas = eq(2) / eq(1)
= 4

Answer 8

4 times larger, since if r was the original radius, the the original area is S = Pi*r^2.
The diameter is doubled ==> so is the radius, so now we have radius = 2r, and the area is Pi(2r)^2 = 4Pi*r^2
Regards
Tonio

Answer 9

one times larger.you already have the area of the original circle. doubling it, means you are adding the same amount to the original amount.

Answer 10

area=pi*r^2
=pi * (d/2)^2
for d =1 area = 1/4 pi sq units
for d=2 area = pi sq units
4* 1/4pi =pi

4
yep definitely 4