Home / Assignment Help / Circle A has an area of 452.16 ft^2 with a radius of 12 ft. If circle B has a radius of 17 ft, what is its area?

Circle A has an area of 452.16 ft^2 with a radius of 12 ft. If circle B has a radius of 17 ft, what is its area?

Hello! Okay let me start off by explaining to how you can simplify a square root…

Let’s take √12 for instance…

the factors of this number are 2, 3, 4, and 6 …. and out of these 4 numbers there is one perfect square, which is 4

so you can split √12 into —> √4 and √3  ….. these would then simplify into 2√3
because the 4 is square rooted

now by doing the same to √18 we get —-> √9 * √2 —->  3√2

Before we multiply the square roots we must remember that numbers underneath the square root can only be multiplied with other numbers underneath a square root….
so…

2√3 * 3√2
(2 * 3) * (√3 * √2)
6√6   <———————– This is your final answer!

I hope this helps! 😀

Please vote me for Brainliest if there is a second answer!

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