Short Answer 
The area of a circle is calculated using the formula A = ≈ìAr¬¨‚⧠based on its radius. For sectors, the area is found using the central angle, with the formula Area of Sector = (≈í‚àè/360) ‚àöo A, indicating that the sector’s area depends on the circle’s total area but cannot be used to calculate the entire circle’s area.
Step 1: Understanding Circle Area
The area of a circle is fundamentally linked to its radius. The formula to calculate the area is given by A = œAr¬≤, where r is the radius. Hence, the size of the radius directly influences the total area of the circle. This implies that any change in radius will alter the area accordingly.
Step 2: Exploring Sector Area Calculations
A sector is a portion of a circle and its area is determined by the central angle. The relationship can be expressed through the formula Area of Sector = (Œ∏/360) √o A, where Œ∏ is the central angle and A is the area of the entire circle. This shows that the area of a sector is directly dependent on its central angle in relation to the complete circle.
Step 3: Interrelationship Between Circle and Sector Areas
The total area of the circle can definitely assist in calculating the area of a sector, as seen in previous steps. However, the area of a sector cannot be used to calculate the area of the whole circle ‚ÄöAi it provides only a fraction of that total area. Therefore, knowing the whole circle’s area is crucial for understanding its sector’s area.