The radius of a circle is 10. Using π, which equation expresses the ratio of the circumference of the circle to the circle's diameter?
please help me
circumference = 2πr = 2π(10) = 20π
C : r = 20π : 10
= 2π : 1
Actually, the basic definition of π is Circumference : radius.
= 2πr : r
= 2π : 1
the definition of pi is the ratio circumference:diameter
The equation that expresses the ratio of the circumference of a circle to its diameter is:
Circumference = π * Diameter
If the radius of the circle is given as 10, we can calculate the diameter by multiplying the radius by 2:
Diameter = 2 * Radius
Diameter = 2 * 10
Diameter = 20
Now, substituting the value of the diameter into the equation, we get:
Circumference = π * Diameter
Circumference = π * 20
Therefore, the equation that expresses the ratio of the circumference of the circle to its diameter is:
Circumference = 20π
To find the ratio of the circumference of a circle to its diameter, we need to use the formula for the circumference of a circle. The formula is given by:
C = 2πr
where C represents the circumference and r represents the radius of the circle. In this case, the radius of the circle is given as 10, so we can substitute that value into the formula:
C = 2π(10)
Simplifying this equation, we get:
C = 20π
So, the equation that expresses the ratio of the circumference of the circle (C) to the circle's diameter (d) is:
C/d = (20π) / (2r)
Since the diameter is twice the radius, we can substitute 2r for d:
C/d = (20π) / (2r) = (20π) / (2(10)) = (20π) / 20
Finally, this simplifies to:
C/d = π
Therefore, the equation that expresses the ratio of the circumference of the circle to its diameter is C/d = π.