This is assuming that the four circles are arranged in a square, with each circle touching two other circles at their tangents.
First, you need to determine the area created by drawing a square between the center points of all of the circles.
Circle radius = 10
Side of square = 10 * 2, or 20
Area of square = 20 * 20, or 400
Now that you have that area, you can deduct the four quarters of the circles inside the square area. You can do it the long way, but four quarters of identical circles equals the area of one of the circles
Area of circle = pi * r^2
= pi * 100
=3.14159 *100
=314.159
Square Area - (4) quarter circle area
400 - 314.159
= 85.841
Chat with our AI personalities
6
As the area of a circle A equals pi times the radius squared, and doubling the diameter means multiplying the radius by four, the area is multiplied by 16 when you double the diameter.
it is cut down by a factor of four since it is proportional to square of radius
6 inches pi*32 = 9*pi square inches (smaller circle) pi*62 = 36*pi square inches (larger circle)
A circle of radius, r, has area pi r2. The largest square inside it is made up of four isosceles triangles whose equal sides are of length, r, and thus has area 1/2 r2. Thus the area of the contained square is 2 r2.