To find the radius and circumference of a dartboard with a diameter of 18 inches, we can use the following formulas:
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Radius (r): The radius is half of the diameter. \[ r = \frac{\text{diameter}}{2} = \frac{18 \text{ inches}}{2} = 9 \text{ inches} \]
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Circumference (C): The circumference of a circle is given by the formula: \[ C = \pi \times \text{diameter} = \pi \times 18 \text{ inches} = 18\pi \text{ inches} \]
Now, let's check the options given:
- Radius = 26 inches (Incorrect; the radius is 9 inches)
- C = 9π square inches (Incorrect; the circumference is 18π inches)
- Radius = 9 inches (Correct)
- Radius = 3 inches (Incorrect; the radius is 9 inches)
- C = 18π square inches (Correct)
- C = 26π square inches (Incorrect; the circumference is 18π inches)
The two correct answers are:
- Radius = 9 inches
- C = 18π square inches