The figure shows four circles, each with a radius of 6 cm. Find the area of the region between the circles. (Round your answer to two decimal places.)

Question

wolf1728 · Answer

Somebody asked a similar question about a week ago.  Here's a graphic I drew:
Is this what you have to find out?

anonymous · Answer

no, its actually the gray portion in the picture you provided

wolf1728 · Answer

Yes, Okay I'll work it out with the circles of radius 6 cm.

wolf1728 · Answer

Area of the square = 12 cm by 12 cm = 144 square cm.
Area of the blue section in one circle:
= PI*r² = 3.14159 * 6² * 1/4 (each circle's area covers only 1/4 of the square.)
= 28.27431 sq cm
Area of upper left quadrant of the square = 6*6 = 36 sq cm
Area of upper left gray section =
36 -28.27431 = 7.72569 sq cm
Area of entire gray section = 4 * 7.72569 =
30.90276 sq cm

wolf1728 · Answer

Oh rounding to 2 decimal places 30.90