Given a circle with a diameter of 4, which equation expresses π as the ratio of the circumference of a circle to its diameter?
2 answers:
Answer:
Step-by-step explanation:
Circumference(C) of a circle is given by:
....[1]
where, r is the radius of the circle.
As per the statement:
Given a circle with a diameter of 4.
We know that:
Diameter(D) = 2r
⇒2r = 4
Substitute the value in [1] we have;
⇒
Divide both sides by 4 we have;
Therefore, the the ratio of the circumference of a circle to its diameter is,
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Answer:
Price of roses is proportional to the number of roses.
Step-by-step explanation:
Let the price of roses are proportional to the number of roses.
Equation representing this phenomenon will be,
P = k(R) ⇒ k =
where 'P' = price of the roses
R = Number of roses
k = Proportionality constant
If we substitute the values of P and R and we get the same value of constant 'k', then the equation will be true.
For R = 3 and P = $9
k =
k = 3
For R = 6 and R = 18
k =
k = 3
K is same in both the conditions, therefore, Price of roses are proportional to the number of roses.