11.3 Solutions for Calculating Areas of Circles and Sectors

To calculate the size of a circular region or a sector, start with identifying the radius or diameter. For a complete circle, use the formula A = πr², where r is the radius. For a sector, the area can be found using the formula A = (θ/360) × πr², where θ is the angle of the sector in degrees. This approach ensures accuracy when calculating the space inside a circle or its fractional parts.

Ensure that measurements are in consistent units, typically in meters or centimeters, and double-check the angle for sectors. This method applies to both theoretical and practical problems, from geometry classes to real-world applications like designing circular objects or planning spaces.