Pregunta
The diameter of a circle is 10 in . Find its area in terms of \( \pi \)
Ask by Blake Martinez. in the United States
Mar 14,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The area of the circle is \( 25\pi \) square inches.
Solución
1. Given the diameter \( d = 10 \) in, compute the radius using:
\[
r = \frac{d}{2} = \frac{10}{2} = 5 \text{ in}
\]
2. The formula for the area of a circle is:
\[
A = \pi r^2
\]
3. Substitute the radius into the area formula:
\[
A = \pi (5)^2 = \pi (25) = 25\pi \text{ in}^2
\]
Thus, the area of the circle is \( 25\pi \) square inches.
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Simplifique esta solución Mind Expander
To find the area of a circle, you can use the formula \( A = \pi r^2 \), where \( r \) is the radius of the circle. Since the diameter of the circle is 10 inches, the radius would be half of that, making it 5 inches. Plugging this into the formula gives you \( A = \pi (5)^2 = 25\pi \) square inches. So, the area of the circle is \( 25\pi \) square inches. And voilà, just like that, you’ve got yourself a lovely circle buddy with 25 slices of π on its pizza pie! 🍕
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