A circle of radius seven cm,with a angle of seventy two degree at the center.calculate the minor sector, the major sector.

recall that with an angle of θ, the area is

a = 1/2 r^2 θ
so plug in your numbers (with the angle in radians, of course)
the major sector is of course, the rest of the circle: πr^2 - a

Did you know?

Did you know that in a circle of radius seven cm with a central angle of seventy-two degrees, we can calculate both the minor sector and the major sector? The minor sector refers to the portion of the circle enclosed by the central angle. To calculate its area, we can use the formula: (angle/360) x πr², where angle is seventy-two degrees and r is seven cm. By substituting these values into the formula, we can easily find the area of the minor sector. On the other hand, the major sector refers to the remaining portion of the circle outside the central angle. Calculating its area involves subtracting the area of the minor sector from the total area of the circle. Again, using the formula for the area of the minor sector, we can find the area of the major sector. Understanding how to calculate the areas of these sectors can be useful in various fields such as geometry and physics, enabling us to analyze and measure the areas enclosed by different angles within a circle.