A circle has a radius of 4.5 cm. What is the area of the circle?

Rationale

The area of the circle is 63.59 cm squared.

To find the area of a circle, the formula used is A = πr², where r is the radius. With a radius of 4.5 cm, the calculation yields an area of approximately 63.59 cm squared when using π ≈ 3.14.

A (28.26 cm squared) YOUR ANSWER

This choice results from a miscalculation in using the formula for the area of a circle. A common error could be using a radius value incorrectly, possibly squaring it incorrectly or mistakenly applying a different area formula.

B (31.79 cm squared) CORRECT

This choice is incorrect as it does not accurately reflect the area calculated using the radius of 4.5 cm. It seems to arise from an incorrect application of the area formula or an incorrect value of π being used, leading to a significant underestimation of the actual area.

C (15.90 cm squared) YOUR ANSWER

This option is significantly lower than the correct area. It likely results from squaring the radius and then incorrectly applying the π value or misunderstanding the formula for the area of a circle altogether.

D (63.59 cm squared) YOUR ANSWER

This is the correct calculation for the area of the circle, derived from correctly applying the formula A = πr². With r = 4.5 cm, the area is calculated as 3.14 × (4.5)², which indeed equals 63.59 cm squared.

Conclusion

The area of a circle is calculated using the formula A = πr². In this case, using a radius of 4.5 cm gives an area of 63.59 cm squared. The other choices either stem from calculation errors or misunderstandings of the area formula, emphasizing the importance of precision in mathematical operations.

A circle has a radius of 4.5 cm. What is the area of the circle?

The area of the circle is 63.59 cm squared.

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