Math Problem Statement

The formula A = πr^2 can be used to find the area of a circle. Solve the equation for r.

Solution

The problem you shared asks to solve the equation A=πr2A = \pi r^2 for rr, where AA is the area of a circle, and rr is its radius.

Starting with the equation: A=πr2A = \pi r^2

To solve for rr, follow these steps:

  1. Divide both sides by π\pi: Aπ=r2\frac{A}{\pi} = r^2

  2. Take the square root of both sides: r=Aπr = \sqrt{\frac{A}{\pi}}

This means that the correct answer is option c from the choices, not the circled answer.

Would you like more details on this problem or have any additional questions?

Here are 5 related questions you can try:

  1. How would you solve A=4πr2A = 4\pi r^2 (surface area of a sphere) for rr?
  2. If the area of a circle is 100 square units, what is the radius?
  3. What happens to the radius if you double the area of the circle?
  4. How can you express the diameter of a circle in terms of its area?
  5. If the circumference of a circle is 2πr2\pi r, how would you solve for rr?

Tip: When dealing with geometry, always pay attention to units of measurement for area, radius, and circumference!

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Math Problem Analysis

Mathematical Concepts

Algebra
Geometry

Formulas

Area of a circle: A = πr^2

Theorems

Square root property

Suitable Grade Level

Grades 6-8