Determine the area of the circle in Exercise 87 .

Name: Problem 104, Chapter 10: Intermediate Algebra for College Students
Uploaded: 2021-08-03T22:58:24-08:00
Duration: 1 min 1 s
Channel: Nick Johnson
Description: Determine the area of the circle in Exercise 87 .

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Key Concepts

Circle

A circle is a basic geometric shape defined as the set of all points in a plane that are equidistant from a fixed central point. It has fundamental properties such as radius, diameter, circumference, and area, all interconnected in various formulas used in geometry.

Radius

The radius is the distance from the center of a circle to any point on its perimeter. It is a crucial measurement in circle geometry because key formulas for both the area and the circumference of a circle are based on the radius.

Area of a Circle

The area of a circle quantifies the space enclosed within its boundaries. It is calculated using the formula A = ?r², where r represents the radius. This formula is derived from the relationship between the circle's circumference and its area, and it is a central concept in geometric calculations.

Pi (?)

Pi is a mathematical constant approximately equal to 3.14159. It represents the ratio of a circle's circumference to its diameter and is fundamental in any geometric formula involving circles, including the area and circumference formulas.

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