How can i calculate the opening area of a arch type door where base 1.6 metre & height base .35 metre i mean?

Question

here base of arch 1.6 meter but height i mean radious not .8 metre, its .35 metre, i mean radius not half of the base so it is non circular...

area ?

Answer 1

If it is not a circular, then what is the dimension of top of the trapezoid ?

And what is the dimension from top of trapezoid to top of arc?

So, please use the following formulae:

*If the two sides which are not parallel have equal lengths, then the trapezoid is called an isosceles trapezoid. The base angles in an isosceles trapezoid are equal in measurement.

*The area of an isosceles (or any trapezoid) is equal to the average of the bases times the height. In the diagram to the right, b1 = segment AD, b2 = segment BC and h is the length of a line segment between AD and BC and perpendicular to them. The area is given as follows:

h*[b1+b2] / 2

*Length of circle arch

L = A * R

L = A * R

Where

L — length of circle arch,

R — radius of a circle,

A — the central angle expressed in radians.

So, for a circle:

A = 2*pi (360 degrees),

we shall receive L = 2*pi*R.

[If it is a circular ,then area will be like as under:

Assume the arch is a rectangle with a semi circle on top.

Let sides of rectangle be of length L and height H.

L is the diameter of semi circle.

Area of semi circle = (π / 2) * (L / 2) ² = π.L² / 8

Area of rectangle = L*H

Area of arch = L*H + (1 / 8) π.L²

Area of arch =L* (H + (1/8).π)

Area of arch =L* (H + (1/8).π)

Area of arch =1.6 * (0.35 + (1/8)*π)

Area of arch =1.6* (0.35 + 0.3925 )

Area of arch =1.6 * (0.7425)

Area of arch =1.188 Meter^2 ]

Answer 2

pi x r^2 will give you the area of the circle encompassed by the door - should it be able to pivot 360 degrees.

Theoretically, with no obstructions, the door would be able to rest flush against the wall when fully open, so you would divide the area of the circle in half.

No offence, but if you had to ask, your math teachers from late grade school (aka: Jr. High) all the way into High School and beyond should be severely chastised if they never taught you this very basic formula.

Good Luck!