What must you assume when you use a rate for a prediction? (Please Help!! I'm in 6th grade and this is math.)
1 answer:
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Answer:
C. √2 - 1
Step-by-step explanation:
If we draw a square from the center of the large circle to the center of one of the small circles, we can see that the sides of the square are equal to the radius of the small circle (see attached diagram)
Let r = the radius of the small circle
Using Pythagoras' Theorem
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
to find the diagonal of the square:
So the diagonal of the square =
We are told that the radius of the large circle is 1:
⇒ Diagonal of square + r = 1
Using the quadratic formula to calculate r:
As distance is positive, only
To solve this we are going to use the formula for the area of a circle: 
where
is the area of the circle
is the diameter of the circle
We know from our problem that the area of our circle is 10 inches long, so
. Lets replace that value in our formula to find :
We can conclude that the correct answer is: 78.54 square inches, or in centimeters: 506.7 square cm.
where
We know from our problem that the area of our circle is 10 inches long, so
We can conclude that the correct answer is: 78.54 square inches, or in centimeters: 506.7 square cm.