Question
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Jonell plans to store her pie dough overnight in a covered bowl that has a radius of 9 centimeters. What is the area of the lid she will need to cover the bowl?

Ask by Murphy French. in the United States
Mar 20,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

El área de la tapa que necesita Jonell es \( 81\pi \) centímetros cuadrados.

Solution

1. La fórmula para el área de un círculo es \[ A = \pi r^2 \] 2. Se nos da que el radio \( r \) es 9 centímetros. 3. Sustituyendo el radio en la fórmula, tenemos \[ A = \pi (9)^2 = \pi (81) = 81\pi \] 4. Por lo tanto, el área de la tapa que se necesita para cubrir el cuenco es \[ 81\pi \text{ centímetros cuadrados} \]

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Bonus Knowledge

To find the area of the lid that Jonell will need to cover her bowl, we can use the formula for the area of a circle, which is A = πr². Given that the radius (r) of the bowl is 9 centimeters, we can calculate the area: A = π × (9 cm)² = π × 81 cm² = 254.47 cm² (approximately, using π ≈ 3.14). So, Jonell will need a lid with an area of about 254.47 square centimeters to perfectly cover her bowl! Now, here's a thrilling tidbit about pie: Did you know that pie has been around for thousands of years? Ancient Egyptians made pie-like crusts out of oats and honey, and the Greeks made a form of pie called "placenta," filled with meat and other savory delights! So when Jonell stores her dough, she's actually participating in a delicious tradition that stretches back to ancient times! If Jonell ever finds herself with leftover dough, she can have some fun creating pie-shaped cookies or mini tarts—talk about a scrumptious twist! Rolling out extra dough and using cookie cutters can turn those scraps into delightful treats, all while avoiding waste. Remember, the pie world is versatile, so don't be afraid to get creative!

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