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The radius of a circle is 7. What is the...

The radius of a circle is 7. What is the area?

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To find the area of a circle given its radius, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the radius of the circle**: The radius (r) of the circle is given as 7. 2. **Recall the formula for the area of a circle**: The formula to calculate the area (A) of a circle is: \[ A = \pi r^2 \] where \( \pi \) (pi) is a constant approximately equal to 3.14, and \( r \) is the radius. 3. **Substitute the radius into the formula**: Now, substitute the value of the radius into the area formula: \[ A = \pi (7)^2 \] 4. **Calculate \( 7^2 \)**: Calculate the square of the radius: \[ 7^2 = 49 \] 5. **Multiply by \( \pi \)**: Now, substitute \( 49 \) back into the area formula: \[ A = \pi \times 49 \] 6. **Write the final answer**: Therefore, the area of the circle is: \[ A = 49\pi \] ### Final Answer: The area of the circle with a radius of 7 is \( 49\pi \). ---
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