6 of 556 of 55 Items01:00:51 Skip to resourcesQuestionCalculate the area of a circle with a radius of 2 cm and a circle with a radius of 4 cm. Leave your answers in terms of pi.When the radius doubles, does the area of the circle double?ResponsesA 4π cm2; 8π cm2; NO4π cm 2 ; 8π cm 2 ; NOB 4π cm2; 16π cm2; NO4π cm 2 ; 16π cm 2 ; NOC 4π cm2; 16π cm2; YES4π cm 2 ; 16π cm 2 ; YESD 4π cm2; 8π cm2; YES4π cm 2 ; 8π cm 2 ; YESE 8π cm2; 16π cm2; YES
Question
6 of 556 of 55 Items01:00:51 Skip to resourcesQuestionCalculate the area of a circle with a radius of 2 cm and a circle with a radius of 4 cm. Leave your answers in terms of pi.When the radius doubles, does the area of the circle double?ResponsesA 4π cm2; 8π cm2; NO4π cm 2 ; 8π cm 2 ; NOB 4π cm2; 16π cm2; NO4π cm 2 ; 16π cm 2 ; NOC 4π cm2; 16π cm2; YES4π cm 2 ; 16π cm 2 ; YESD 4π cm2; 8π cm2; YES4π cm 2 ; 8π cm 2 ; YESE 8π cm2; 16π cm2; YES
Solution
The area of a circle is calculated using the formula A = πr², where r is the radius of the circle.
- For a circle with a radius of 2 cm, the area would be A = π(2)² = 4π cm².
- For a circle with a radius of 4 cm, the area would be A = π(4)² = 16π cm².
So, when the radius doubles, the area of the circle does not double, it quadruples. Therefore, the correct answer is B: 4π cm²; 16π cm²; NO.
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If the circumference of a circle is doubled, how does the area of the circle change?ResponsesA The area is doubled.The area is doubled.B The area is tripled.The area is tripled.C The area is quadrupled.The area is quadrupled.D The area does not change.
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