The measure of central angle YCZ is 80 degrees.
What is the sum of the areas of the two shaded sectors?
36 pi units^2
To find the sum of the areas of the two shaded sectors, we need to know the radius of the circle. Without this information, we cannot calculate the areas accurately. Could you please provide the radius of the circle?
To find the sum of the areas of the two shaded sectors, we first need to determine the measures of the central angles of each sector.
Given that the measure of central angle YCZ is 80 degrees, we can assume there are two sectors with equal measures. Let's call each sector YCZ and XCZ.
Since both sectors have equal measures, each sector's central angle will be half of 80 degrees, which is 40 degrees.
To find the area of each sector, we need to know the radius of the circle or the lengths of any radii. Unfortunately, the problem statement does not provide this information.
To find the area of a sector, we use the formula:
Area of Sector = (Angle in degrees / 360) * π * r^2
In this case, without the radius value, we cannot compute the area for each sector.
Therefore, we cannot find the sum of the areas of the two shaded sectors based on the information given.