Area Of Circle Given Center And Point

Introduction: Calculating the area of a circle when you know the center and a point on the circumference involves finding the circle's radius first and then using it to determine the area.

Understanding the Concept:

A circle is defined by its center and radius. The distance between the center of the circle and any point on its circumference is the radius. Process for Calculating the Area:

First, measure the distance between the center of the circle and the given point on the circle. This distance is the radius (r). Use the formula for the area of a circle: Area = πr², where π (Pi) is approximately 3.14159. Example:

If the center of the circle is at point A and another point B lies on the circle, measure the distance AB. Suppose AB = 5 units. The radius of the circle, in this case, is 5 units. The area of the circle is π × 5² = 25π ≈ 78.54 square units. Key Points to Remember:

Accurately measure the radius of the circle. The area of the circle is proportional to the square of its radius. Practical Applications:

This method is used in various fields like architecture, land surveying, and any scenario where the dimensions of circular spaces are needed.