Question

Three circles are placed in a rectangle with length 18yd,Find the area of the shaded region. Use the value 3.14 for pi , and do not round your answer. Be sure to include the correct unit in your answer.

Answer 1

Where is the shaded region?

Answer 2

Is that all you were given?

Answer 3

its the second one

Answer 4

So they're all congruent? They're all tangent to their adjacent circles and to the rectangle?

Answer 5

yep

Answer 6

Radii of same or congruent circles =. That lets me draw the picture above. Then, the area of the rectangle is 18 * 6 = 108yd². The area of a circle is πr² = π * 3² = 9π. There are three of them, so the area of the circles is 3*9π = 27π. Assuming the shaded region is everything except the circles...

SR (shaded region) = whole thing - non shaded part
Whole thing is the rectangle. Part is the circles.
108 - 27π yds² is your answer. Using 3.14 for pi,
SR approx = 23.22 yd²