AREA OF THE ANNULUS | UEA
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UEA The circles with radii R and r, measured in cm, are concentric and the circular ring determined by them has an area of 80π cm², as shown in the figure:
Knowing that the arithmetic mean of the measures of R and r is equal to 10 cm, it can be concluded that the larger radius exceeds the smaller one by:
(A) 3 cm.
(B) 5 cm.
(C) 2 cm.
(D) 4 cm.
(E) 1 cm.
Area of the Circular Ring
The area of the circular ring can be calculated by the difference between the total areas, that is, the area of the larger circle minus the area of the smaller circle.
How to calculate the area of a circle?
Image result for circular ring
C = 2·π·r. If we multiply the radius of the circle by 2, we will find the measure of the diameter (the line segment that intersects two points on the circle passing through the center). ...
C = π·d. How to calculate the area of a circle? ...
A = π·r²
circular sector formula,
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