Three equal circles of unit radius touch each other. Then, the area of the circle circumscribing the three circles is

Here are the solutions to the problems. Problem 24: Three equal circles of unit radius (r=1) touch each other. We need to find the area of the circle circumscribing these three circles. Step 1: Determine the arrangement of the three circles. When three equal circles touch each other, their centers form an equilateral triangle. Since the radius of each circle is r=1, the distance between the centers of any two touching circles is 2r = 2(1) = 2. Thus, the side length of the equilateral triangle formed by the centers of the three circles is a = 2. Step 2: Find the radius of the circumscribing circle. The center of the circumscribing circle will coincide with the ✂️ _That answer was long and got cut off. Reply continue and I'll finish it._