# Tagged Questions

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

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### Calculating Open ended cone height

If I have the diameter for both bases of the open-ended cone, and they are 20, and 16. Is there any way I could get the height of that open-ended cone?
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### Find the area between $y = -x^2+4x$ and $y = -x +4$.

I'm a high schooler. I'm studying for an exam and got stuck with calculating the area between two functions. Picture of the question : (1) $y = -x^2+4x$ (2) $y = -x +4$ $A(1,5), B(4,0)$ ...
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### The fraction of the larger hexagon that is shaded?

This is from Australian Maths 2013. In a regular hexagon,the midpoints of the sides are joined to form he shaded regular hexagon.What fraction of the larger hexagon is shaded? Since the larger ...
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### How to find this area of intersecting curves using integration?

I have to find the area of the yellow part given $ABCD$ is a square of $10cm$ side and the curved lines that run diagonally are the circumference portions of the quadrants of circles with each side of ...
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### Squares and areas

In the dotted sheet below, the distances, both horizontally and vertically, between every two neighbouring points are equal. Ann drew all possible squares by connecting four of the points. How many ...
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### Average distance for 2 random points

An n-dimensional region $\Omega$ is given. Randomly two points on the region are chosen. These points have an uniform distribution. Is it possible to calculate the average (=expected) distance with ...
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### How do I find the partial curved surface area on a hemisphere?

Want to develop a general formula to find the surface area of the highlighted area for any radius (say) r for the hemishphere On spreading out this surface on a plane it can be measured with help of ...
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### Evaluate $\iint { \sqrt{\left| y-{ x }^{ 2 } \right|}\, dx\,dy }$ over a rectangle

Question: I want to evaluate $\iint_R {\sqrt{ \left| y-{ x }^{ 2 } \right|}\, dx\,dy },$ where $R=[-1,1]\times[0,2]$. Indeed $x\in[-1,1]$ and $y\in[0,2]$. My approach: Since, $|y-x^2|$ is positive ...
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### Filling a pool.

i have a pool of 2 meter radius, and 1.5 height. The pool is a perfect Cylinder. How many bottles of 1 liter i have to spill into the pool, so it will be completely full. The Volume of the Cylinder is ...
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### Area of all triangles involved in a big triangle.

I have a big triangle made up of several small triangle as depicted in picture given below. Suppose, there is one generic triangle of this shape which is formed by joining points arranged in n rows....
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### Sum of Area of Circles. [duplicate]

A circle of radius x cm is inscribed in an equilateral triangle and is tangent at three points. Three smaller circles are inscribed so that they are each tangent to two sides of the triangle and to ...
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### In the figure below,three congurent semicircles with centres P,RQ,R are drawn on each side of three equilateral triangle.Find shaded part's area?

In the figure below,three congurent semicircles with centres P,RQ,R are drawn on each side of three equilateral triangle.Find shaded part's area?
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### Find equal side lengths for isosceles triangle from middle angle and area?

I know that this is a really easy question, but I am looking for the answer to this question: The area of this isosceles triangle is 5cm squared. The angle ABC is 22 degrees. Work out ...