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
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.
The area of a circle with radius 5 is 25 pi. Concentric circles with radius 3 and 4 have areas of 9 pi and 16 pi. The concentric circle with radius four consumes the circle with radius 3. 25 pi minus 16 pi leaves 9 pi of the circle with radius 5 left over. 16 pi is slightly over three-fifths of the circle with radius 5.
A four-inch radius circle has an area of about 50.27 square inches.
Imagine 4 circles just touching, like this OO .............................................................. OO only closer. Draw a square connecting the centres of the 4 circles. Given the circles each have a radius of 10 metres the length of each side of the square is (10+10) =20 metres and the area of the square is 400 square metres. The area of each quarter of the circle that is within the square is one quarter of pi times r squared so the four quarters = 100pi square metres so the space between the circles is the difference.
300. (Doubling the radius multiplies the area by four times.)
50.26 squre inches
Four...
Letting x be radius of the 4 circles, then (squareroot(2x^2))+x=10, or x(1+sqrt2)=10. Then radius of circle in middle is ((2*10)-4x)/2. So I get radius of circle in middle = 1.715729 approximately.
201.1 square units, approx.
if you double the radius (or diameter) , you get four times the area. area of a circle = pi * radius squared
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.
If you know the radius (say it's 4), square the radius and multiply that number by pi. So for a radius of four, it would be 4 X 4 = 16 X 3.14 = 50.24, the area of the circle.