The diameter of a quarter is 24.26 mm and the diameter of a nickel is 21.21 mm. how much bigger is the distance around a quarter than a nickel? (use 3.14 for π)

9.577 mm

Step-by-step :

Explanation:

circumference (the distance all the way around a circle) is calculated by multiplying pi (3.14) times the radius (half of the diameter) times 2.

or C=Π2r

Part 1:

We have to divide the diameter of the quarter by two (24.26/2) to get the radius which equals (12.13).

Then we do the same for the nickel (21.21/2) which equals (10.605)

Part 2:

Now comes the easier part!

Now we're going to calculate the circumference of the quarter.

12.13*3.14*2= 76.1764

Now we're going to calculate the circumference of the nickle!

10.605*3.14*2= 66.5994

Part 3

Now subtract 76.1764- 66.5994

And now you have

9.577

I hope this helps

♥, Sadie

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11