W and a are on circle
A. 512 units B. 256 units C. 32 units D. 16 units
The area of the whole circle is (250.21 / 112) (360) = 804.25 = (pi)(r^2) r = sqrt(804.25 / pi) = 16 for radius. So, the diameter is twice that or 32 Answer "C".
Thank you for breaking it down for me!
I have just one more if you don't mind?
Sure, go ahead.
Q and L are on circle H. mLQHL = 43 degrees . If the area of the sector created by arc QL is 121.58, what is the radius of circle H? A. 18 B. 36 C. 648 D. 324
This problem is the very same type of problem. You can use the above problem as a model for this one. You just take the area, divide it by the number of degrees and multiply that by 360 to get the area of the whole circle. Take that area of the whole circle, divide it by pi, and then take the square root. Just take that answer and don't further multiply it by 2 because then you would have the diameter and you just want the radius.
Good luck in all of your studies and thx for the recognition! @KierseyClemons
Are you able to do the substitutions or do you need more guidance?
I got it. Thanks :)
Let A be the area of the sector. Let d be the degrees of the sector. sqrt([(A/d)(360)] / pi) = r
Good job! Nice working with you!
You too!
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