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Which quantity is multiplied by pi () in the formula for the area of a circle?
In the formula for the area of a circle, ( A = \pi r^2 ), the quantity multiplied by pi is the square of the radius ( r ). This means that the area is proportional to the square of the radius, reflecting how the area increases with changes in the radius of the circle.
How do you work out a formula for a in terms of b when a is inversely proportional to b?
a = k/b when a is inversely proportional to b, where k is a constant.
What is the direct variation formula?
a is directly proportinal or inversely proportional to b
What is the area of an ellipse?
The area of an ellipse can be calculated using the formula ( A = \pi \times a \times b ), where ( a ) is the length of the semi-major axis and ( b ) is the length of the semi-minor axis. This formula highlights that the area is proportional to the product of these two axes and involves the mathematical constant ( \pi ). The result provides a measure of the space enclosed within the ellipse.
Is mulch that costs a set amount to cover a square foot proportional?
To determine if mulch that costs a set amount to cover a square foot is proportional, you need to consider the relationship between the cost and the area covered. If the cost remains constant regardless of the area covered, then it is proportional. For example, if $1 covers 1 square foot, $2 covers 2 square feet, and so on, then it is proportional. However, if the cost changes based on the area covered, then it is not proportional.
What is the formula relating pressuer force and area?
The formula relating pressure, force, and area is: Pressure = Force / Area. This formula shows that pressure is directly proportional to force and inversely proportional to the area over which the force is distributed.
Does the pressure increase if you increase the force or area?
If you increase the force applied to a given area, the pressure will increase. Conversely, if you increase the area over which a force is applied, the pressure will decrease. This is because pressure is directly proportional to force and inversely proportional to area according to the formula pressure = force/area.
Which quantity is multiplied by pi () in the formula for the area of a circle?
In the formula for the area of a circle, ( A = \pi r^2 ), the quantity multiplied by pi is the square of the radius ( r ). This means that the area is proportional to the square of the radius, reflecting how the area increases with changes in the radius of the circle.
What is the relationship between thrust and pressure?
thrust and pressure are dirrectly proportional 2 each other frm d formula pressure =perpendicular force /area
How does the resistance of a wire depend on its dimensions?
The resistance of a wire is directly proportional to its length and inversely proportional to its cross-sectional area. This means that for a given material, a longer wire will have higher resistance and a thicker wire will have lower resistance. The relationship is described by the formula: Resistance = resistivity x (length / cross-sectional area).
What will be the impact on the pressure if area is doubled?
If the area is doubled while the force remains constant, the pressure will be halved. This is because pressure is inversely proportional to area according to the formula P = F/A, where P is pressure, F is force, and A is area. Thus, increasing the area will decrease the pressure.
Is the resistance of the wire directly or inversely proportional to the cross-sectional area of the wire?
The resistance of a wire is inversely proportional to the cross-sectional area of the wire. This means that as the cross-sectional area of the wire increases, the resistance decreases, and vice versa.
How do you work out a formula for a in terms of b when a is inversely proportional to b?
a = k/b when a is inversely proportional to b, where k is a constant.
What is a fixed area of a rectangle?
A fixed area of a rectangle is an area that doesn't change. An area is a quantity that measures the space of a shape.Consider this example:A = length x width, which is the formula of a rectangleIf A is fixed, then it depends on what values length and width are. Then, length is indirectly proportional to width in order for A to remain fixed.
Why does the volume quadruple when the radius of a cylinder is doubled?
The volume is Base x height; the Base area is the same as the formula for a circle - which is proportional to the square of the radius. For example, if you double the radius (or the diameter, or the circumference) of a circle, its area will quadruple.
What is the direct variation formula?
a is directly proportinal or inversely proportional to b
What is the area of an ellipse?
The area of an ellipse can be calculated using the formula ( A = \pi \times a \times b ), where ( a ) is the length of the semi-major axis and ( b ) is the length of the semi-minor axis. This formula highlights that the area is proportional to the product of these two axes and involves the mathematical constant ( \pi ). The result provides a measure of the space enclosed within the ellipse.
