Geometry Points: Find the Circumference of a Circle if Given the Area

To find the circumference of a circle when you already know the area, you can use the following steps:

1. Identify the known value: Start by identifying the given value, which is the area (A) of the circle.

2. Use the area formula: The formula for the area of a circle is A = πr², where A represents the area and r is the radius of the circle.

3. Solve for the radius: Rearrange the formula to solve for the radius (r). Divide both sides of the equation by π and take the square root of both sides: r = √(A/π).

4. Calculate the circumference: Once you have the radius, you can use the formula for the circumference (C) of a circle, which is C = 2πr. Substitute the value of the radius into the formula and calculate the circumference.

To summarize:

- Given: Area of the circle = A
- Radius of the circle: r = √(A/π)
- Circumference of the circle: C = 2πr

By following these steps and using the appropriate formulas, you can find the circumference of a circle when you are given the area.

These videos are designed to review and reteach high school Geometry content. My videos cover…

Points, Lines, and Planes,
Angles and Angle Relationships,
Triangles,
Quadrilaterals,
Circles,
Similarity and Proportions,
Congruent Figures,
Coordinate Geometry,
Transformations,
Area and Perimeter,
Volume and Surface Area,
Right Triangles and Trigonometry,
Geometric Proofs,
Constructions,
Non-Euclidean Geometries.

Nick Perich
Norristown Area High School
Norristown Area School District
Norristown, Pa
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