#### 30.96

February 22, 2026

#### 30.96

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Area of the circle is \( \pi \times 6^2 = 36\pi \) cm².
Shaded area is \( 144 - 36\pi \) cm².
Approximating \( \pi \approx 3.14 \), the shaded area is \( 144 - 113.04 \approx 30.96 \) cm².
A company produces widgets with a cost function \( C(x) = 50x + 2000 \) and a revenue function \( R(x) = 80x \). Find the break-even point where cost equals revenue.
Set \( C(x) = R(x) \): \( 50x + 2000 = 80x \).
Solving for \( x \), \( 2000 = 30x \) gives \( x = \frac{2000}{30} \approx 66.67 \).

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