# Infinity

A square with a side 19 long is an inscribed circle, and the circle is inscribed next square, circle, and so on to infinity. Calculate the sum of the area of all these squares.

### Correct answer:

**Showing 2 comments:**

**Ann**

I don't believe this answer is correct. The ratio (q) to find the area of the next square should be 1/8, not 1/2.

Tips for related online calculators

#### You need to know the following knowledge to solve this word math problem:

## Related math problems and questions:

- Recursion squares

In the square, ABCD has inscribed a square so that its vertices lie at the centers of the sides of the square ABCD. The procedure of inscribing the square is repeated this way. The side length of the square ABCD is a = 22 cm. Calculate: a) the sum of peri - Difference 66354

A circle is inscribed in a square with a side of 12 cm so that it touches all its sides. Calculate the difference between the area of the square and the circle. - Quatrefoil

Calculate the quatrefoil area, inscribed in a square with a side of 6 cm. - Two squares

Two squares with sides in the ratio 5:2 have a sum of their perimeters 73 cm. Calculate the sum of the area of these two squares. - An equilateral

An equilateral triangle is inscribed in a square of side 1 unit long so that it has one common vertex with the square. What is the area of the inscribed triangle? - Ratio of squares

A circle is given in which a square is inscribed. The smaller square is inscribed in a circular arc formed by the square's side and the circle's arc. What is the ratio of the areas of the large and small squares? - Annular area

The square with side a = 1 is inscribed and circumscribed by circles. Find the annular area. - 6 regular polygon

A regular six-sided polygon has a side 5 cm long. Calculate its area. Compare how many more cm² (square centimeters) has a circle inscribed the 6-gon. - Squares

From the square with the integer side, cut out the square with the integer side so that the residual area is 100. What is the longest possible side of the larger square? - Inscribed rectangle

The circle area is 216. Determine the area of the inscribed rectangle with one side 5 long. - Square circles

Calculate the length of the described and inscribed circle to the square ABCD with a side of 5cm. - Silver medal

A circular silver medal with a diameter of 10 cm is an inscribed gold cross consisting of five equal squares. What is the area of the silver part? b) What is the area of the golden cross? - Circumscription

Calculate the radius of the Circumscribed circle in the rectangle with sides 20 and 19. Can it be a rectangle inscribed by a circle? - Rhombus

It is given a rhombus of side length a = 19 cm. Touchpoints of inscribed circle divided his sides into sections a_{1}= 5 cm and a_{2}= 14 cm. Calculate the radius r of the circle and the length of the diagonals of the rhombus. - Squares above sides

Two squares are constructed on two sides of the ABC triangle. The square area above the BC side is 25 cm². The height vc to the side AB is 3 cm long. The heel P of height vc divides the AB side in a 2: 1 ratio. The AC side is longer than the BC side. Calc - Inscribed rectangle

What is the perimeter of a rectangle inscribed in a circle whose diameter is 5 dm long? Answer: 14 dm - Rectangle 21663

A) Divide a rectangle measuring 126 cm x 72 cm into as many squares as possible. b) Calculate the side length of these squares.