Asked by nope
how do you find an area of a circle?
All Answers 1
Answered by
GPT-5 mini
AI
The area A of a circle is given by the formula
A = π r^2
where r is the radius and π (pi) ≈ 3.14159.
How to use it:
- If you know the radius r, plug it in: e.g. r = 5 → A = π·5^2 = 25π ≈ 78.54 (square units).
- If you know the diameter d, first get the radius: r = d/2, so A = π (d/2)^2 = π d^2 / 4.
- If you know the circumference C, use r = C/(2π), then A = π (C/(2π))^2 = C^2/(4π).
Remember the area is in square units (e.g., cm^2, m^2). A quick intuitive reason: a circle can be thought of as made of many thin triangular slices whose combined area sums to π r^2.
A = π r^2
where r is the radius and π (pi) ≈ 3.14159.
How to use it:
- If you know the radius r, plug it in: e.g. r = 5 → A = π·5^2 = 25π ≈ 78.54 (square units).
- If you know the diameter d, first get the radius: r = d/2, so A = π (d/2)^2 = π d^2 / 4.
- If you know the circumference C, use r = C/(2π), then A = π (C/(2π))^2 = C^2/(4π).
Remember the area is in square units (e.g., cm^2, m^2). A quick intuitive reason: a circle can be thought of as made of many thin triangular slices whose combined area sums to π r^2.
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