What is the relationship between area and diameter?
What is the relationship between area and diameter?
1. The formula for the area A as a function of the diameter d of a circle is given by A = π (d/2)^2.
Is there a proportional relationship between diameter and circumference?
There is a proportional relationship between the diameter and circumference of any circle. The constant of proportionality is pi. The symbol for pi is . We can represent this relationship with the equation , where represents the circumference and represents the diameter.
How does diameter affect area?
1 Answer. Daniel L. If the diameter of a circle is doubled, its area increases 4 times.
Is there a proportional relationship between area and radius?
The factor ‘2 pi’ is simply the constant of proportionality between C and R. So the area of a circle is proportional to R2 and pi is the constant of proportionality between the area and the radius of a circle.
What is the relationship between diameter D and area of circle one word?
Answer: So a diameter is the same as two opposing radii. The formula for the area of a circle is A = π r2, where r is the length of the radius of a circle. We can use our knowledge that a diameter is made up of two radii to understand that r = d/2.
Which statement describes the effect on the area of a circle if the diameter of the circle is increased by a factor of 2?
17.1 in. 16.2 in. Which statement describes the effect on the area of a circle if the diameter of the circle is increased by a factor of 2? The area is twice the original area.
How do you convert area to diameter?
Divide the area (in square units) by Pi (approximately 3.14159). Take the square root of the result (Example: 310.56). This is the radius. Now double the radius to get the diameter (Example: 621.12 meters).
What is the relationship of the radius and the diameter?
Radius and diameter are close friends – a circle’s radius is half the length of its diameter (or: a circle’s diameter is twice the length of its radius).
Is the radius and diameter of a circle proportional?
The radius of a circle is proportional to its diameter.
What is the formula of area of diameter?
Formulas Related to Circles
| Diameter of a Circle | D = 2 × r |
|---|---|
| Circumference of a Circle | C = 2 × π × r |
| Area of a Circle | A = π × r2 |
What is the relationship for the radius and the diameter example?
Radius = 2× diameter.