3 circles with radius 2 are mutually tangent. What is the total area of the circles and the region bounded by them?
1 Answer
Area of the circles and the region bounded by them
Explanation:
Three circles are touching each other and have a radius of 2.
To find the area of the three circles + the colored portion in between the circles.
Construction : Join A, B, C. It forms an equilateral triangle with sides a = 2r = 4 &
Area of
Now we will find the area of the long sectors EF in circle A, DF in circle B and DE in circle C. All the three areas are equal as the circles have the same radius 2 and have a center angle of (360-60 =
area of each sector
Area of the circles and the region bounded by them