There are two (equivalent) formulas for the circumference of a circle:
C = 2 pi r, where r is the radius of the circle
C = pi d, where d is the diameter of the circle
In this particular problem, however, we're dealing with arc length. For the shown central angle "theta" = 160 degrees, the arc length is 42 cm.
Knowing this enables us to calculate the radius or diameter of the circle.
Arc length = s = (radius) (central angle, in radians, not degrees)
First, convert 160 degrees to radians: 160 deg pi rad
----------- * ------------ = (8/9) pi rad
1 180 deg
Then 42 cm = r *(8/9) pi rad
Solve for the radius (r): divide 42 cm by (8/9) pi rad
Then use the formula for circumference introduced earlier:
C= 2 pi r Substitute [42 cm / ( (8/9) pi rad )] for r.
Simplify your result, and you will then have the circumference, C, in cm.
Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
Factoring will reveal the solution. So we divide the equation by the greatest common factor of the terms and use that factor as the coefficient. In this case the greatest common factor is just x.
2x^2+5x
x(2x+5) so the equation will equal zero when either of those expressions is zero because zero times anything is zero. x=0 and x=-5/2
To know what to do first in a math problem we look to order of operations... PEMDAS stands for parentheses, exponents, multiplication, division, addition, and subtraction. So to begin we look for parentheses... do we have any? Why, yes, yes we do. Let's work!
(3+3) + 6 / 3 + 6 =
Add 3+3 in the parentheses. Since there is nothing else, the parentheses can go away.
6 + 6 / 3 + 6 =
Now, any exponents? Nope... Multiplication? Nope... division? Yes! Let's go!
6 + 2 + 6 =
Now all we have left is addition... Go for it!
8 + 6 = 14
Done!
