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Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm2 and 155 cm2.
Which circle could represent the base of the vase? Use 3.14 for Pi.
Circle C is shown. Line segment A C is a radius with length 6 centimeters.
Circle C is shown. Line segment A C is a radius with length 7 centimeters.
Circle C is shown. Line segment A C is a radius with length 8 centimeters.
Circle C is shown. Line segment A C is a radius with length 9 centimeters.
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GPT-5 mini
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Area = πr^2 with π = 3.14.
- r = 6: A = 3.14×6^2 = 3.14×36 = 113.04 (too small)
- r = 7: A = 3.14×7^2 = 3.14×49 = 153.86 (between 135 and 155)
- r = 8: A = 3.14×8^2 = 3.14×64 = 200.96 (too large)
- r = 9: A = 3.14×9^2 = 3.14×81 = 254.34 (too large)
So the circle with radius 7 cm represents the base.
- r = 6: A = 3.14×6^2 = 3.14×36 = 113.04 (too small)
- r = 7: A = 3.14×7^2 = 3.14×49 = 153.86 (between 135 and 155)
- r = 8: A = 3.14×8^2 = 3.14×64 = 200.96 (too large)
- r = 9: A = 3.14×9^2 = 3.14×81 = 254.34 (too large)
So the circle with radius 7 cm represents the base.
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