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Interior angle of Pentagon given central angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
interior_angle = pi-Central Angle
AngleInterior = pi-Anglecentral
This formula uses 1 Constants, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Central Angle - A central angle is an angle whose apex (vertex) is the center O of a circle and whose legs (sides) are radii intersecting the circle in two distinct points A and B. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Central Angle: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
AngleInterior = pi-Anglecentral --> pi-0.785398163397301
Evaluating ... ...
AngleInterior = 2.35619449019249
STEP 3: Convert Result to Output's Unit
2.35619449019249 Radian -->135.000000000034 Degree (Check conversion here)
FINAL ANSWER
135.000000000034 Degree <-- Interior Angle
(Calculation completed in 00.000 seconds)

9 Angles and Apothem of Pentagon Calculators

Interior angle of Pentagon given sum of interior angle and central angle
interior_angle = Sum of interior and central angle- Central Angle Go
Central angle of Pentagon given sum of interior and central angle
central_angle = Sum of interior and central angle- Interior Angle Go
Sum of interior angle and central angle of Pentagon
sum_of_interior_and_central_angle = Interior Angle+Central Angle Go
Interior angle of Pentagon given central angle
interior_angle = pi-Central Angle Go
Central angle of Pentagon given interior angle
central_angle = pi-Interior Angle Go
Apothem of Pentagon given area and side
apothem = (2*Area)/(5*Side) Go
Interior angle of Pentagon given sum of interior angles
interior_angle = Sum of Angles/5 Go
Sum of interior angles of Pentagon
sum_of_angles = 5*Interior Angle Go
Apothem of Pentagon given side
apothem = Side*0.688 Go

Interior angle of Pentagon given central angle Formula

interior_angle = pi-Central Angle
AngleInterior = pi-Anglecentral

How to calculate the interior angle of pentagon given only central angle?

A pentagon is any five-sided polygon or 5-gon. The sum of the internal angles in a simple pentagon is 540°.

How to Calculate Interior angle of Pentagon given central angle?

Interior angle of Pentagon given central angle calculator uses interior_angle = pi-Central Angle to calculate the Interior Angle, Interior angle of Pentagon given central angle is defined as an angle formed by two sides of the polygon that share an endpoint. Interior Angle and is denoted by AngleInterior symbol.

How to calculate Interior angle of Pentagon given central angle using this online calculator? To use this online calculator for Interior angle of Pentagon given central angle, enter Central Angle (Anglecentral) and hit the calculate button. Here is how the Interior angle of Pentagon given central angle calculation can be explained with given input values -> 135 = pi-0.785398163397301.

FAQ

What is Interior angle of Pentagon given central angle?
Interior angle of Pentagon given central angle is defined as an angle formed by two sides of the polygon that share an endpoint and is represented as AngleInterior = pi-Anglecentral or interior_angle = pi-Central Angle. A central angle is an angle whose apex (vertex) is the center O of a circle and whose legs (sides) are radii intersecting the circle in two distinct points A and B.
How to calculate Interior angle of Pentagon given central angle?
Interior angle of Pentagon given central angle is defined as an angle formed by two sides of the polygon that share an endpoint is calculated using interior_angle = pi-Central Angle. To calculate Interior angle of Pentagon given central angle, you need Central Angle (Anglecentral). With our tool, you need to enter the respective value for Central Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Interior Angle?
In this formula, Interior Angle uses Central Angle. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • sum_of_angles = 5*Interior Angle
  • sum_of_interior_and_central_angle = Interior Angle+Central Angle
  • interior_angle = Sum of interior and central angle- Central Angle
  • interior_angle = Sum of Angles/5
  • interior_angle = pi-Central Angle
  • central_angle = pi-Interior Angle
  • central_angle = Sum of interior and central angle- Interior Angle
  • apothem = (2*Area)/(5*Side)
  • apothem = Side*0.688
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