Area of Triangle of Heptagon given Inradius Calculator

✖Side of Heptagon is the length of the line segment joining two adjacent vertices of Heptagon.ⓘ Side of Heptagon [S]			+10% -10%
✖Inradius of Heptagon is defined as the radius of the circle which is inscribed inside the Heptagon.ⓘ Inradius of Heptagon [r_i]			+10% -10%

✖Area of Triangle of Heptagon is the amount of space occupied by the isosceles triangle formed when a straight line is drawn from the center towards all the vertices.ⓘ Area of Triangle of Heptagon given Inradius [A_Triangle]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Heptagon Formula PDF PDF Image

Area of Triangle of Heptagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Triangle of Heptagon = 1/2*Side of Heptagon*Inradius of Heptagon
A_Triangle = 1/2*S*r_i
This formula uses 3 Variables

Variables Used

Area of Triangle of Heptagon - (Measured in Square Meter) - Area of Triangle of Heptagon is the amount of space occupied by the isosceles triangle formed when a straight line is drawn from the center towards all the vertices.
Side of Heptagon - (Measured in Meter) - Side of Heptagon is the length of the line segment joining two adjacent vertices of Heptagon.
Inradius of Heptagon - (Measured in Meter) - Inradius of Heptagon is defined as the radius of the circle which is inscribed inside the Heptagon.

STEP 1: Convert Input(s) to Base Unit

Side of Heptagon: 10 Meter --> 10 Meter No Conversion Required
Inradius of Heptagon: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_Triangle = 1/2*S*r_i --> 1/2*10*11

Evaluating ... ...

A_Triangle = 55

STEP 3: Convert Result to Output's Unit

55 Square Meter --> No Conversion Required

FINAL ANSWER

55 Square Meter <-- Area of Triangle of Heptagon

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Heptagon » Area of Heptagon » Area of Triangle of Heptagon given Inradius

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has verified this Calculator and 400+ more calculators!

< Area of Heptagon Calculators

Area of Heptagon given Long Diagonal

LaTeX Go Area of Heptagon = 7/4*((Long Diagonal of Heptagon*2*sin(((pi/2))/7))^2)/tan(pi/7)

Area of Heptagon given Short Diagonal

LaTeX Go Area of Heptagon = 7/4*((Short Diagonal of Heptagon/(2*cos(pi/7)))^2)/tan(pi/7)

Area of Heptagon given Height

LaTeX Go Area of Heptagon = 7/4*((2*Height of Heptagon*tan(((pi/2))/7))^2)/tan(pi/7)

Area of Triangle of Heptagon given Inradius

LaTeX Go Area of Triangle of Heptagon = 1/2*Side of Heptagon*Inradius of Heptagon

< Area of Heptagon Calculators

Area of Heptagon given Height

LaTeX Go Area of Heptagon = 7/4*((2*Height of Heptagon*tan(((pi/2))/7))^2)/tan(pi/7)

Area of Heptagon given Perimeter

LaTeX Go Area of Heptagon = 7/4*((Perimeter of Heptagon/7)^2)/tan(pi/7)

Area of Heptagon

LaTeX Go Area of Heptagon = (7*Side of Heptagon^2)/(4*tan(pi/7))

Area of Triangle of Heptagon given Inradius

LaTeX Go Area of Triangle of Heptagon = 1/2*Side of Heptagon*Inradius of Heptagon

Area of Triangle of Heptagon given Inradius Formula

LaTeX Go

Area of Triangle of Heptagon = 1/2*Side of Heptagon*Inradius of Heptagon
A_Triangle = 1/2*S*r_i

What is a Heptagon?

Heptagon is a polygon with seven sides and seven vertices. Like any polygon, a heptagon may be either convex or concave, as illustrated in the next figure. When it is convex, all its interior angles are lower than 180°. On the other hand, when its is concave, one or more of its interior angles is larger than 180°. When all the edges of the heptagon are equal then it is called equilateral

How to Calculate Area of Triangle of Heptagon given Inradius?

Area of Triangle of Heptagon given Inradius calculator uses Area of Triangle of Heptagon = 1/2*Side of Heptagon*Inradius of Heptagon to calculate the Area of Triangle of Heptagon, Area of Triangle of Heptagon given Inradius is defined as the amount of space occupied by the isosceles triangle inside the Heptagon, calculated using side and inradius. Area of Triangle of Heptagon is denoted by A_Triangle symbol.

How to calculate Area of Triangle of Heptagon given Inradius using this online calculator? To use this online calculator for Area of Triangle of Heptagon given Inradius, enter Side of Heptagon (S) & Inradius of Heptagon (r_i) and hit the calculate button. Here is how the Area of Triangle of Heptagon given Inradius calculation can be explained with given input values -> 55 = 1/2*10*11.

FAQ

What is Area of Triangle of Heptagon given Inradius?

Area of Triangle of Heptagon given Inradius is defined as the amount of space occupied by the isosceles triangle inside the Heptagon, calculated using side and inradius and is represented as A_Triangle = 1/2*S*r_i or Area of Triangle of Heptagon = 1/2*Side of Heptagon*Inradius of Heptagon. Side of Heptagon is the length of the line segment joining two adjacent vertices of Heptagon & Inradius of Heptagon is defined as the radius of the circle which is inscribed inside the Heptagon.

How to calculate Area of Triangle of Heptagon given Inradius?

Area of Triangle of Heptagon given Inradius is defined as the amount of space occupied by the isosceles triangle inside the Heptagon, calculated using side and inradius is calculated using Area of Triangle of Heptagon = 1/2*Side of Heptagon*Inradius of Heptagon. To calculate Area of Triangle of Heptagon given Inradius, you need Side of Heptagon (S) & Inradius of Heptagon (r_i). With our tool, you need to enter the respective value for Side of Heptagon & Inradius of Heptagon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search