Subjects geometry

Circle Area E9F160

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1. **State the problem:** We have a circle with a diameter of 22 yards and need to find the area $A$ of the circle in square yards. 2. **Formula used:** The area of a circle is given by $$A = \pi r^2$$ where $r$ is the radius. 3. **Find the radius:** The radius is half the diameter, so $$r = \frac{22}{2} = 11 \text{ yd}$$ 4. **Calculate the area:** Substitute $r=11$ into the area formula: $$A = \pi (11)^2 = \pi \times 121 = 121\pi \text{ yd}^2$$ 5. **Approximate the area:** Using $\pi \approx 3.1416$, $$A \approx 121 \times 3.1416 = 380.132 \text{ yd}^2$$ **Final answer:** $$A = 121\pi \approx 380.13 \text{ yd}^2$$
22 yd