A sector Whos radius is 10 feet, has an area of 200pi/9 ft squared. What are the measures of the central and inscribed angels for this sector?

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Step-by-step explanation:

Given information:

Radius = 10 feet

Area = sq. ft.        ...(i)

We need to find the measures of the central and inscribed angels for this sector.

The area of a sector is

where, r is radius and is central angle in radian.

Substitute r = 10 in the above formula.

     ...(ii)

From (i) and (ii), we get

Therefore, the measure of central angle is .

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.