Answer:
Yes, you can find the measure of the intercepted arc if you know the area and radius of a sector of a circle.
To find the measure of the intercepted arc, you need to use the formula:
Arc length = (central angle / 360) x (2πr)
where r is the radius of the circle, and the central angle is measured in degrees.
To find the central angle, you can use the formula:
Sector area = (central angle / 360) x πr^2
where r is the radius of the circle.
Once you have found the central angle, you can use the first formula to find the arc length.
Therefore, if you know the area and radius of a sector of a circle, you can find the measure of the intercepted arc.