Admin Table of Contents
- 1 What is the area under a straight line?
- 2 What does the area of a line represent?
- 3 What does area under the curve mean in calculus?
- 4 What does the area of an object represent?
- 5 Is area under curve negative?
- 6 Do you subtract area under the curve?
- 7 What is the symbol for a straight line?
- 8 How do you name a straight line in math?
What is the area under a straight line?
Area Under a Straight Line Graph – Calculate the area under a straight line graph.
| Equation | Area of ‘triangle’ | Area of ‘rectangle’ |
|---|---|---|
| y = x + 1 | 50 | 1 x 10 = 10 |
| Y= x + 2 | 50 | 2 x 10 = 20 |
| y = x + 3 | 50 | 3 x 10 = 30 |
| y = x + 4 | 50 | 4 x 10 = 40 |
What does the area of a line represent?
It has been learned in this lesson that the area bounded by the line and the axes of a velocity-time graph is equal to the displacement of an object during that particular time period. Once calculated, this area represents the displacement of the object.
What does area under the curve mean in calculus?
Calculating the area under a straight line can be done with geometry. Calculating the area under a curved line requires calculus. Often the area under a curve can be interpreted as the accumulated amount of whatever the function is modeling.
What is the area of a line segment?
If you know the radius, r, of the circle and you know the central angle, ϴ, in degrees of the sector that contains the segment, you can use this formula to calculate the area, A, of only the segment: A = ½ × r^2 × ((π/180) ϴ – sin ϴ)
What does the area under a straight line of a velocity time graph represent?
The area under the velocity-time graph represents the distance travelled. Velocity-time graph for a car moving with uniform acceleration is a straight line and the area of the graph gives the distance travelled during a time interval.
What does the area of an object represent?
In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object. The area of a figure is the number of unit squares that cover the surface of a closed figure.
Is area under curve negative?
The Area Under a Curve Areas under the x-axis will come out negative and areas above the x-axis will be positive. This means that you have to be careful when finding an area which is partly above and partly below the x-axis.
Do you subtract area under the curve?
The area between two curves may be calculated by finding the area between one curve and the x-axis, and subtracting the area between the other curve and the x-axis. It is important to draw a sketch, in order to find the points where the curves cross, so that the ordinates can be calculated.
What is a straight line and how does it work?
The straight line may seem humdrum, but it is a little trickier than that, and can even adopt a disguise. What is a Straight Line? By definition, a straight line is the set of all points between and extending beyond two points. In most geometries, a line is a primitive object that does not have formal properties beyond length, its single dimension.
What does a straight line on a distance time graph mean?
Distance-time graphs and Acceleration-time graphs can also be drawn for the motion of a particle, where time is always plotted on the horizontal axis. A straight line on a distance-time graph represents that a particle has constant speed.
What is the symbol for a straight line?
They are identified with the symbol ∥. Pairs of straight lines can also intersect each other at any angle. When two straight lines intersect at 90°, they are perpendicular, identified with the symbol ⊥. Straight Angles. Straight lines can appear to be another figure, and vice versa. A straight angle, 180°, is a straight line.
How do you name a straight line in math?
Naming & Identifying Straight Lines. Straight lines are named by any two points on their length. Generally you name them from left to right. Here is line AB: [insert drawing of line AB] To identify a line in writing, you write the two points as capital letters and draw a tiny two-headed line above the two letters, like this: