In the figure below, a circle of radius cm is
divided into three equal circular sectors, where each sector has a perimeter of
cm and an arc of length cm. Given that is the area of one
sector, determine and .
Step 1: Determine the radius of the circle.
Write an equation to show that the perimeter of a sector is equal to the sum of two radius lengths and one arc length. Solve for the value of the radius.
So, the radius is cm.
Step 2:Find the area of one sector.
Since the circle is divided into three equal sectors, the area of one sector is equal to the area of the circle.