Answer:
r equals StartFraction C Over 2 pi EndFraction
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
where
r is the radius of the circle
Solve for r
That means -----> isolate the variable r
Divide by 2π both sides
[tex]\frac{C}{2\pi}=\frac{2\pi r}{2\pi}[/tex]
Simplify right side
[tex]\frac{C}{2\pi}=r[/tex]
Rewrite
[tex]r=\frac{C}{2\pi}[/tex]
so
r equals StartFraction C Over 2 pi EndFraction
The equivalent equation solved for r (the radius of a circle) is given by: Option [tex]r = \dfrac{C}{2\pi}[/tex]
Suppose that a considered circle has:
Then, we get:
[tex]C = 2 \times \pi \times r \: \rm units[/tex]
For solving for r, we need to make equation look such that 'r' is on one side of the equation, and rest of the stuffs are on other side. That will make us evaluate only that other side and we will get value of r whenever needed.
[tex]C = 2 \times \pi \times r \\\\\text{Dividing both the sides by } 2\pi\\\\\dfrac{C}{2\pi} = r\\\\r = \dfrac{C}{2\pi} \: \rm units[/tex]
(when there is multiplication which involves a symbol instead of only numbers, like [tex]\pi[/tex] here, we can skip writing multiplication sign, and get those two quantities close to each other, indicating they are in multiplication, thus, [tex]2 \pi = 2 \times \pi[/tex] )
Thus, the equivalent equation solved for r (the radius of a circle) is given by: Option [tex]r = \dfrac{C}{2\pi}[/tex]
Learn more about circumference here:
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