California Assessment of Student Performance and Progress (CAASPP) Math Practice Exam 2025 - Free CAASPP Math Practice Questions and Study Guide

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What is the area of a circle with a diameter of 10 cm? (Use π ≈ 3.14)

31.4 cm²

78.5 cm²

To find the area of a circle, the formula used is \( A = πr^2 \), where \( A \) is the area and \( r \) is the radius of the circle. The radius is half of the diameter.

Given that the diameter of the circle is 10 cm, the radius can be calculated as follows:

\[ r = \frac{diameter}{2} = \frac{10 \, \text{cm}}{2} = 5 \, \text{cm} \]

Now substituting the radius into the area formula:

\[ A = πr^2 = π(5 \, \text{cm})^2 = π(25 \, \text{cm}^2) \]

Using the approximate value of \( π \) as 3.14:

\[ A ≈ 3.14 \times 25 \, \text{cm}^2 = 78.5 \, \text{cm}^2 \]

This calculation shows that the area of the circle is 78.5 cm², confirming that this is the correct answer.

Understanding the relationship between diameter and radius is crucial, as it directly affects calculations involving the area

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100 cm²

157 cm²

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