Formula Used:
From: | To: |
The formula ∠A = π - ∠C calculates the measure of angle A in a quadrilateral when angle C is known. This relationship is based on the geometric properties of quadrilaterals and the constant value of π.
The calculator uses the formula:
Where:
Explanation: This formula calculates angle A by subtracting the known angle C from π radians (180 degrees).
Details: Accurate angle calculation is crucial for geometric analysis, quadrilateral construction, and solving various mathematical problems involving polygon geometry.
Tips: Enter angle C in radians. The value must be a valid positive number. The calculator will compute angle A using the formula ∠A = π - ∠C.
Q1: What is the value of π used in this calculator?
A: The calculator uses π ≈ 3.14159265358979323846264338327950288 for maximum precision.
Q2: Can I use degrees instead of radians?
A: This calculator requires input in radians. Convert degrees to radians first (radians = degrees × π/180).
Q3: What is the range of valid input values?
A: Angle C must be between 0 and π radians (0° to 180°) for a valid quadrilateral angle.
Q4: Does this formula work for all types of quadrilaterals?
A: This specific relationship applies to certain quadrilateral configurations where angles A and C are supplementary.
Q5: How precise are the calculations?
A: The calculator provides results with 6 decimal places precision using high-precision π value.