Question

The radius of a circle is multiplied by 1/4. Which of the following describes the effect of this change on the area? HELP ASAP!!

Answer 1

area of circle is πr^2 ..if the radius is reduced 4 times... then... the area gets multiplies by 1/16 as it is r^2

and radius =r/4

Answer 2

$r_{1} =\frac{1}{4} X r$Answer:

(b) The area is multiplied by 1/16

Step-by-step explanation:

Formula of the area of the circle,

$A =\pi r^{2}$

now the radius of a circle is multiplied by 1/4.

so new radius,

$r_{1} =\frac{1}{4}$×r

so now new area of circle

$A_{1}$=$\pi r_{1} ^{2}$

=$\frac{1}{16} r^{2}$

compare $A and A_{1} \\A_{1} =\frac{1}{16}A$

So correct answer is b , the area is multiplied by 1/16