The Stack Overflow podcast is back! Listen to an interview with our new CEO.

Questions tagged [area]

Area is a quantity that expresses the extent of a two-dimensional or three-dimensional surface or shape.

2,350 questions
Filter by
Sorted by
Tagged with
70 views

Length and width calculation from area [closed]

I have a question: If I have a square that is $50\ ft$ by $50\ ft$ it equals to $2500\ ft^2$. Simple enough. Now, if I divide $2500\ ft^2$ area in half, that equals to $1250\ ft^2$. How do I know ...
35 views

Why are there only two answers for this co-ordinate geometry question? [closed]

A co-ordinate geometry question reads "Find value of $p$ such that area of triangle $A (p,2p), B(-1,6), C (3,1)$ is $10$ sq. units. Only 2 values come for $p$. Why does that happen? Shouldn't there be ...
52 views

Area by a single measure [closed]

There is a triangle whose area can be calculated just by knowing/measuring one of its sides. If it is not an equilateral triangle, what it could be ?
227 views

find the area of a kite with integration

A stunt kite has the shape in the diagram below: How can I find the area using calculus integration. Can anyone help me start this question, I am not looking for the full answer. I assume I only ...
84 views

Calculate the described squared circle

I need to calculate the described squared circle... with only given the length of the side (a). I need to calculate the area of described squared circle. How exactly is it done with only a side given?...
28 views

area limited by curves [closed]

help find the integrate for find area. $$R=\{(x,y)\in R^2: x^2+y^2\geq1, x^2+4y^2\leq 4, x-y\geq0, y\geq 0\}$$ I know what the area is, but I find it difficult to form the integral, can you help me ...
35 views

Is it possible to cover all circle area with infinite lines starting from the center? [closed]

Is it possible to cover all area of a circle of radius r>0 with infinite lines starting from the center?
180 views

How to find the projected area in the x-y plane of an ellipsoidal cap rotated by angle $\beta$?

Image of an ellipsoidal cap I am trying to compute a part of the projected area in the x-y plane (base area) of an ellipsoidal cap rotated in the x-y plane by an angle $\beta$. So I am taking a point ...
189 views

Arithmetic mean - geometric mean [closed]

Use arithmetic mean -geometric mean inequality to prove that perimeter of a rectangle is minimum with a given area if it is a square
72 views

58 views

Does the area of a triangle change when it has a fixed rectangle inside it?

I am solving optimization problems for calculus. One of the problems has a ladder extending over a 10 ft fence, leaning on a house 4 ft from the fence, like so: | <-house | | ------| | ------| &...
26 views

Faster reaction rate with increased surface area

If the largest dimension of a CaCO3 tablet that can be packaged economically is 10 mm (meaning a radius can be a maximum of 5 mm). What would be the best shape for the shape of the tablet? By best, I ...
35 views

Why is the area of the function -1 in this case? [closed]

I understand that I need to get the area of the shape from 0 to 2 and subtract the area of the shape from 2 to 4 to get the area of 0 to 4, but how do I calculate the area of the second shape?
54 views

Expected area of the smallest closed rectangle [closed]

Three points are chosen independently and uniformly inside the unit square in the plane. Find the expected area of the smallest closed rectangle that has sides parallel to the coordinate axes and that ...
89 views

Find the area between the curves: $y=x+1, y=-3x+13,y=-\frac{1}{3}x-\frac{1}{3}$

Find the area between the curves: $$y=x+1$$ $$y=-3x+13$$ $$y=-\frac{1}{3}x-\frac{1}{3}$$ I see this when I graph it, and it's not easy for me to understand what variable I should integrate with. Any ...
1k views

Find the area of the region bounded by the graphs of $y = 1$ and $y = \cos^2(x)$ from $x = 0$ to $x = π$

Find the area of the region bounded by the graphs of $y = 1$ and $y = \cos^2(x)$ from $x = 0$ to $x = π$. $a. 0.785$ $b. 3.142$ $c. 2.576$ $d. 1.571$ I graphed it but I'm not sure what to do ...
277 views

how to find the area of a wrapped cylinder

Find the number of rolls required to wrap a $330$ ft long cylinder with an initial diameter of $1.75$ inches $5$ times. Each Roll is .$408$ inches thick, $24$ inches wide, and $20$ ft long. Each wrap ...
29 views

vectors: help solving part d?

consider a parallelogram ABCD with A(3,-2,-1), B(2,1,3) and C(0,4,1). a-find the coordinates of D b-calculate the area of this parallelogram c-calculate the area of triangle ABD and that of ABC. d-...
45 views

Find the area between the curves on the graph $y=\sin^2 kx \$and $\ y=\cos^2 kx$

I think I would know how to approach this question if it weren't for the constant $k$ in the equations. I would usually find the point of intersection between the two functions and set the $x$ co-...
112 views

Minimum placement of circles in polygon

I have a variably sized 4 sided polygon in 2D space. I can draw circles inside this polygon which have a fixed radius (500 meters). I need to cover all the surface area of this polygon, using these ...
88 views

Calculate area of a figure on the picture

What kind of figure is it? (the filled one). How can I calculate it's area? Known: radius of each circle and coordinates of their centers. Picture of this figure
44 views

area and volume [closed]

The total length of all 12 sides of a rectangular box is 60. (i) Write the possible values of the volume of the box. Your answer should be an interval. Now suppose in addition that the surface area of ...
309 views

Rate of área change according to its diameter

The area A of a circle is related to its diameter by the equation A=πD²/4. At which rate approximatelly the area vary in relation to its diameter when D = 10m?
A rectangular meadow will have a fence around it. The long side is $130$ m longer than the short side. The sides lengths can be written $x$ and $x+ 130$. Write a simplified expression for 1) ...