A circular copper decoration has a diameter of 2 in. How much more area would a circular decoration with a diameter of 6 in. have?

Question

asked Oct 13, 2021 25.4k views

1 Answer

Makerj · Answer 1 · 2021-10-18T14:30:33+0000

Answer:

$8\pi \ in^2$

Explanation:

1. Find the area of the circle with diameter of 2 in. If diameter is 2 in, then the radius is
$2/ 2=1\ in.$

Area
$=\pi r^2=\pi\cdot 1^2=\pi \ in^2$

2. Find the area of the circle with diameter of 6 in. If diameter is 6 in, then the radius is
$6/ 2=3\ in.$

Area
$=\pi r^2=\pi\cdot 3^2=9\pi \ in^2$

3. Find the difference in area:

$9\pi -\pi =8\pi \ in^2$