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.