The circle has a circumference of 50.24. Using 3.14 to approximate pi​, find the value of x.
      A circle with a radius labeled x plus 3.
x + 3
Stepping through or around all that gibberish, I read it as:
circumference = 50.24 units
radius = x+3
2πr = circumference
2π(x+3) = 50.24
x+3 = 50.24/(2π) =
x = 50.24/(2π) - 3
= ........
evaluate using your favourite method of doing arithmetic.
(I have a calculator that contains the constant π, giving me a slightly better answer than using 3.14 for π)
To find the value of x, we can use the formula for the circumference of a circle:
C = 2πr
Given that the circumference is 50.24, we can substitute these values into the formula:
50.24 = 2 * 3.14 * (x + 3)
Now, let's solve for x:
50.24 = 6.28 * (x + 3)
To isolate x, divide both sides of the equation by 6.28:
50.24 / 6.28 = x + 3
8 = x + 3
Subtract 3 from both sides to solve for x:
8 - 3 = x
x = 5
Therefore, the value of x is 5.
To find the value of x, we can use the formula for the circumference of a circle: C = 2πr, where C is the circumference and r is the radius.
Given that the circumference of the circle is 50.24 and we are approximating π as 3.14, we can rewrite the formula as:
50.24 = 2 * 3.14 * (x + 3)
Simplifying the equation:
50.24 = 6.28(x + 3)
Dividing both sides of the equation by 6.28:
50.24 / 6.28 = x + 3
Solving for x:
8 = x + 3
Subtracting 3 from both sides of the equation:
8 - 3 = x
x = 5
So, the value of x is 5.