The above shows 2 congruent circles that are enclosed within a rectangle. Each circle passes through the center of the other circle. Each circle has an area of 10 units.
To the nearest whole number, what is the area of the rectangle?
+128474 The area of a circle = pi * r^2
So....to find the radius of each circle we have that
10 = pi * r^2
10 / pi = r^2
The width of the rectangle = 3r
And the height = 2r
So.....the area = 3r * 2r = 6r^2 = 6 (10 / pi) = 60 /pi ≈ 19.1 units^2 ≈ 19 units^2
EDIT TO CORRECT AN EARLIER ERROR !!!!
