Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [area]

Area is a quantity that expresses the measurement of the extent of a two-dimensional shape.

Frequent problems related to area include

  • Computing area of planar figures like triangles, circles, quadrilaterals, etc.
  • Computing the surface area of a figure in three dimensional space like a sphere or a cube.
  • Applying techniques of integral calculus to calculate the area bounded underneath the graph of a function, or the area bounded between the graphs of two functions.
  • Broadly discussing alternative definitions and notions of area.
3695 questions
0
votes
1 answer

I don't understand this

"A plot is 60m long and 40m wide. A path 3m wide is to be constructed around the plot . find the area of the path" This question is in my maths book and the answer is 636m square but I don't understand how
yomna
  • 13
0
votes
1 answer

How would I work out the area of a shape that isn't a circle but has no ovals

Say for example I have a shape that is an oval which ddoesn't have straight lines(the wobble) how would I work out the area? What shape would it even be? Here is an example of what I mean:
Harry Kitchener
  • 175
0
votes
2 answers

Find the Area of a rectangle please help

a pool 20 ft by 30 ft is going to have a deck x feet wide added all the way around the pool write an expression in simplified form for the area of the deck. I have tried doing this but have failed please help
crisrex
  • 13
0
votes
1 answer

Is there a geometrical/mathematical way of finding this out?

Basically I need to find out what are the tiles affected by the area projected by the 2 lines, is there maybe a function or something like that to get that information?.
Artemix
  • 203
0
votes
1 answer

Find the area of a trapezoid when the base side lengths are not known

How would I find the area of a trapezoid if I know the lengths of the "legs" but not the lengths of the parallel sides. So in the attached image, the lengths c and d are known but not the parallel sides, a and b. The angle, beta, is known. The…
rdemyan
  • 97
0
votes
1 answer

Area and Perimeter of Rounded Polygon

How can you calculate the area and perimeter of a rounded polygon given the sides and radius, where $n$ is the number of sides? I know for a rounded rectangle, the formula for area is $a=lw-(4-π)r^2$, where for perimeter it is $p=2l+2w-(8-2π)r$.…
user1068718
0
votes
0 answers

FInding Exact Circumference and Exact Area of a Circle

My teacher gave us a question with the diameter being equal to 8 inches, the radius is equal to 4 inches, and the approximate circumference being equal to 25.12 inches. When he says to find the approximate area he says to use 3.14 for pi but I get…
Nora Smith
  • 1
0
votes
0 answers

How big would the lakes presented in the two pictures presented be in square mileage?

This question is being asked for the sake of a worldbuilding project. The reason I posted two separate maps instead of just one is that in the second picture, Megalakes Chad and Congo look much bigger than on the first one. How big would each…
JohnWDailey
  • 111
0
votes
1 answer

Calculating Total area under graph in positive and negative

I am calculating the area of a retaining wall which goes from above the finished surface level to below it. Seen below I only have the two points on either end of the wall and the distance between them. How do I use these in an excel formula to…
S. Strevens
  • 1
0
votes
0 answers

What's the ratio of circles of different sizes needed to cover sections of a cone and maintain constant coverage?

This is a holiday-themed question! I have a tree with a height of $20 \ \mathrm{ft}$ and a base radius of $7 \ \mathrm{ft}$. I need to order $6\mbox{-}\mathrm{in}$, $4\mbox{-}\mathrm{in}$, and $2\mbox{-}\mathrm{in}$ ornaments. Assuming the tree is a…
Nik
  • 21
0
votes
1 answer

Area of Sacred Flower

If each circle is unit circle then what will be area of given flower ? My attempt : First I calculated comman area of two circles $a=2({1\over3}-{\sqrt3\over4})$ And area of one of 6 small leafs in centre $b={1\over3}-{\sqrt3\over2}$ I approach…
RKK
  • 408
0
votes
2 answers

Area of a square cut by a line, identifying the smaller side

I have a grid with a path running through it. Within each of the grid squares, where the path intersects, I want to determine which side of the current grid has the smaller area. I was hoping there was a clever way to do this by measuring up (or…
Valerie
  • 115
0
votes
1 answer

Does it matter how you find total lateral area of a rectangular prism

Let's consider a rectangular prism with length 3, height 6 and width 12 . To find lateral area, does it matter if we do $3(12) + 3(12) + 6(12) + 6 (12)$ giving us 216 then + 2(3)(6) for total surface area 252. Or $3*12 + 3*12 + 6*3 + 6*3 = 108$…
user924547
0
votes
2 answers

Cone Area From Rotated Triangle

Given a right triangle $ABC$ rotated $2\pi$, one full circle, around line $BC$. Find area of the formed cone. Everyone knows that the formula for a cone includes a $\frac13$ in it due to some integral calculus. Why can the area of a cone not be…
Ean Dudley
  • 1
0
votes
2 answers

Find the area of a rhombus whose side is 6 cm and whose altitude is 4 cm. if one of its diagonal is 8 cm long, find the length of another diagonal.

If I solve for diagonal by using area = 1/2 (D1 x D2) and area = base x height and if I solve for diagonal by using Pythagoras theorem, why the answers are different?
Edutech Online Tutorials
  • 1
1 2 3
…
11 12