A circle has an approximate circumference of 44 feet. What is the approximate area of the circle?
Hi The Answer to this would be approxiametly 154 and that's rounding up. I'm going to explain how I got it. First off we have to find the radius before we can get the area and to do this we use the formula \(C=2 \pi (r)\) where r equals the radius of the circle. Now we can plug in our values C Would be replaced with 44 and then the formula would like \(44=2 \pi (r)\). Then we divide both sides of the equation by 2 so it would look like 44/2 = 22 you dont need to bring the 2 down from the other side. Now its \(22= \pi (r)\). Now we divide both sides of the equation by Pi which equals to 3.14. So 22 divided by 3.14 equals 7. Now we have found the radius so R=7. Now we calculate the area. The formula for area is \(A= \pi (r^2)\) which means area equals pi times radius squared. 7 squared would be 49. Which the formula would like \(area= \pi (r^2) area= \pi (7^2) area= \pi (49) area=(153.86)\) You can round 153.86 to 154.06. We got that from squaring 7 which is 49 and 49 multipled by 3.14 (PI) equals 153.86. Comment if you need me to explain more. Hope this helped :)
c=2pir
a=pir²
c=44=2pir
44=2pir
divide boh sides by 2
22=pir
divide both sides by pi
22/pi=r
sub into other eqution
a=pir²
a=pi(22/pi)²
a=(pi)(484/(pi²))
a=484/pi
using pi=3.141592
a=154.06201696464722344594715036198
aprox 154 ft²