Calculating Areas of Circles and Sectors with Detailed Solutions

To find the size of a circular region, use the formula A = πr², where A is the area and r is the radius. This calculation applies to full round shapes. If the shape is a partial section, the area is a fraction of the total, determined by the angle of the section.

For sections, use the formula A = (θ/360) × πr², where θ is the central angle in degrees. This formula will give you the area of the portion enclosed by the angle.

These methods are useful for a variety of problems, from simple geometry questions to real-world applications like land or material estimations. Understanding these calculations will help you solve problems involving round shapes effectively.