atch each area to its corresponding radius or diameter of the circle.(All areas are approximate.)area: 221.5584 square unitsarea: 78.5 square unitsarea: 452.16 square unitsarea: 36.2984 square unitsarea: 314 square unitsarea: 886.2336 square unitsradius: 12 unitsdiameter: 16.8 unitsradius: 3.4 unitsdiameter: 10 units
Question
atch each area to its corresponding radius or diameter of the circle.(All areas are approximate.)area: 221.5584 square unitsarea: 78.5 square unitsarea: 452.16 square unitsarea: 36.2984 square unitsarea: 314 square unitsarea: 886.2336 square unitsradius: 12 unitsdiameter: 16.8 unitsradius: 3.4 unitsdiameter: 10 units
Solution
The area of a circle is calculated using the formula A = πr², where r is the radius of the circle. If the diameter is given, remember that the radius is half of the diameter.
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Area: 221.5584 square units Radius: sqrt(221.5584/π) = 8.4 units This corresponds to a diameter of 16.8 units.
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Area: 78.5 square units Radius: sqrt(78.5/π) = 5 units This corresponds to a diameter of 10 units.
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Area: 452.16 square units Radius: sqrt(452.16/π) = 12 units This corresponds to the radius of 12 units.
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Area: 36.2984 square units Radius: sqrt(36.2984/π) = 3.4 units This corresponds to the radius of 3.4 units.
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Area: 314 square units Radius: sqrt(314/π) = 10 units This corresponds to a diameter of 10 units.
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Area: 886.2336 square units Radius: sqrt(886.2336/π) = 16.8 units This corresponds to a diameter of 16.8 units.
Please note that there seems to be a mistake in the question as the area of 314 square units corresponds to a radius of 10 units, not a diameter of 10 units.
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