A circle is dialated with a scale factor of 2/3. what is the area of the new circle if the area of the original circle is 45 squ
are inches? Show your work. :)
1 answer:
Original Circle Area = 45
A = pi * r^2
Plug in what we know:
45 = 3.14 * r^2
Divide 3.14 to both sides:
14.3312102 = r^2
Find the square root of both sides:
r = 3.78565849
Find 2/3 of this:
2/3 * 3.78565849 = 2.52377233
So this is the radius of the newly dilated circle.
A = pi * r^2
A = 3.14 * 2.52377233^2
A = 3.14 * 6.36942677
A = 20
So the area of the newly dilated circle is 20 square inches.
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