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Complete the table below, which concerns circles. Complete parts (a) through (d) below.

Complete the table below, which concerns circles. Complete parts (a) through (d) below.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Below is the transcript from the image, which contains a table related to circle properties. The table has placeholders to be filled with the corresponding values for the radius, diameter, circumference, and area of circles. --- ### Properties of Circles **Complete the table below, which concerns circles. Complete parts (a) through (d) below.** | | Radius | Diameter | Circumference | Area | |---|---|---|---|---| |**a.** | 6 cm | ◻️ | ◻️ | ◻️ | |**b.** | ◻️ | 24 cm | ◻️ | ◻️ | |**c.** | ◻️ | ◻️ | ◻️ | 81π cm² | |**d.** | ◻️ | ◻️ | 36π cm | ◻️ | *(Type exact answers, using π as needed.)* ### Explanation of Columns: - **Radius**: The distance from the center of the circle to any point on its circumference. - **Diameter**: The distance across the circle, passing through the center; it is twice the radius. - **Circumference**: The total distance around the circle, calculated by the formula \(C = 2πr\) or \(C = πd\), where \(r\) is the radius and \(d\) is the diameter. - **Area**: The amount of space enclosed within the circle, calculated by the formula \(A = πr^2\). ---
Transcribed Image Text:Below is the transcript from the image, which contains a table related to circle properties. The table has placeholders to be filled with the corresponding values for the radius, diameter, circumference, and area of circles. --- ### Properties of Circles **Complete the table below, which concerns circles. Complete parts (a) through (d) below.** | | Radius | Diameter | Circumference | Area | |---|---|---|---|---| |**a.** | 6 cm | ◻️ | ◻️ | ◻️ | |**b.** | ◻️ | 24 cm | ◻️ | ◻️ | |**c.** | ◻️ | ◻️ | ◻️ | 81π cm² | |**d.** | ◻️ | ◻️ | 36π cm | ◻️ | *(Type exact answers, using π as needed.)* ### Explanation of Columns: - **Radius**: The distance from the center of the circle to any point on its circumference. - **Diameter**: The distance across the circle, passing through the center; it is twice the radius. - **Circumference**: The total distance around the circle, calculated by the formula \(C = 2πr\) or \(C = πd\), where \(r\) is the radius and \(d\) is the diameter. - **Area**: The amount of space enclosed within the circle, calculated by the formula \(A = πr^2\). ---
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