To find the diameter, circumference, radius, and area of the circle with a line through it measuring 22 centimeters, you can use the following formulas:
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Diameter (D): The problem states the measurement is the diameter: \[ D = 22 \text{ cm} \]
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Radius (r): The radius is half of the diameter: \[ r = \frac{D}{2} = \frac{22 \text{ cm}}{2} = 11 \text{ cm} \]
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Circumference (C): The formula for the circumference of a circle is given by: \[ C = \pi D \] Using \( π = 3.14 \): \[ C = 3.14 \times 22 \text{ cm} = 69.08 \text{ cm} \]
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Area (A): The formula for the area of a circle is: \[ A = \pi r^2 \] Again, using \( π = 3.14 \): \[ A = 3.14 \times (11 \text{ cm})^2 = 3.14 \times 121 \text{ cm}^2 = 379.94 \text{ cm}^2 \]
Summary of Answers:
- Diameter = 22 centimeters
- Circumference = 69.08 centimeters
- Radius = 11 centimeters
- Area = 379.94 square centimeters