Question

Find the circumference of each circle given its radius or diameter. Leave your answer in terms of $\pi .$ radius 2 inches

   Find the circumference of each circle given its radius or diameter. Leave your answer in terms of $\pi .$
radius 2 inches

Precalculus : Building Concepts and Connections

Precalculus : Building Concepts and Connections

Revathi Narasimhan 1st Edition

Chapter 5, Problem 1

Instant Answer

Solved by Expert Arin Asawa

04/23/2020

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Step 1: We are given the radius of the circle, which is 2 inches. Show more…

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Find the circumference of each circle given its radius or diameter. Leave your answer in terms of $\pi .$ radius 2 inches

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Key Concepts

Circle

A circle is a set of all points that are equidistant from a single central point. Understanding the properties of a circle, including its symmetry and constant radius, is fundamental in geometry and in calculating various measures like circumference and area.

Circumference

The circumference is the measure of the distance around the circle. It is a key concept akin to the perimeter in other geometrical shapes, and is particularly significant in problems involving circular dimensions.

Radius and Diameter

The radius of a circle is the straight line distance from the center of the circle to any point on its boundary, while the diameter is twice the radius and spans the circle through its center. Recognizing the relationship between the two is crucial for solving problems involving circle measurements.

Circumference Formula

The circumference of a circle can be calculated using either C = 2?r when the radius is known, or C = ?d when the diameter is provided. These formulas allow the final answer to be expressed in terms of ?, maintaining accuracy and exactness in mathematical representation.

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