1. What is the Radius of Semicircle Formula?

The formula calculates the radius of a semicircle when the area is known. It is derived from the standard area formula of a semicircle and rearranged to solve for the radius.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( r \) — Radius of the semicircle (m)
• \( A \) — Area of the semicircle (m²)
• \( \pi \) — Mathematical constant pi (approximately 3.14159)

Explanation: The formula takes the area of the semicircle, multiplies it by 2/π, and then takes the square root of the result to find the radius.

3. Importance of Radius Calculation

Details: Calculating the radius from the area is important in various geometric and engineering applications where the dimensions of semicircular structures need to be determined from known area measurements.

4. Using the Calculator

Tips: Enter the area of the semicircle in square meters. The value must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: Why is there a 2/π factor in the formula?
A: The factor 2/π comes from rearranging the standard area formula of a semicircle (A = (πr²)/2) to solve for the radius.

Q2: What units should I use for the area?
A: The calculator uses square meters (m²), but you can use any consistent area unit as long as the radius will be in the corresponding length unit.

Q3: Can this formula be used for full circles?
A: No, this specific formula is for semicircles. For full circles, the formula would be r = √(A/π).

Q4: What is the precision of the calculation?
A: The calculator provides results with 6 decimal places for accuracy, using the precise value of π.

Q5: Are there any limitations to this calculation?
A: The formula assumes a perfect semicircular shape and may not be accurate for irregular shapes or semicircles with significant measurement errors.