# MO circles

Juro built the ABCD square with a 12 cm side. In this square, he scattered a quarter circle with a center at point B passing through point A and a semicircle l with a center at the center of the BC side and passed point B. He would still build a circle that would lie inside the square and touches the quarter circle k, semicircle l, and side AB. Find the radius of such a circle.

## Correct answer:

Tips for related online calculators

The Pythagorean theorem is the base for the right triangle calculator.

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

#### Themes, topics:

### Grade of the word problem:

## Related math problems and questions:

- Applies 14683

Point B is the center of the circle. The line AC touches the circles at point C and applies AB = 20 cm and AC = 16 cm. What is the radius of the circle BC? - Circumscribed 5465

Inside the rectangle ABCD, the points E and F lie so that the line segments EA, ED, EF, FB, and FC are congruent. Side AB is 22 cm long, and the circle circumscribed by triangle AFD has a radius of 10 cm. Determine the length of side BC. - The rectangle 5

The rectangle OABC has one vertex at O, the center of a circle, and a second vertex A is 2 cm from the edge of the circle, as shown. The vertex A is also a distance of 7 cm from C. The point B and C lie on the circumference of the circle. a. What is the r - Conditions 7186

Given an isosceles right triangle ABS with base AB. On a circle centered at point S and passing through points A and B, point C lies such that triangle ABC is isosceles. Determine how many points C satisfy the given conditions and construct all such point

- Rhombus construction

Construct ABCD rhombus if its diagonal AC=9 cm and side AB = 6 cm. Inscribe a circle in it, touching all sides. - Tangent 3

In a circle with a center O radius is 4√5 cm. EC is the tangent to the circle at point D. Segment AB is a given circle's DIAMETER. POINT A is joined with POINT E, and POINT B is joined with POINT C. Find DC if BC IS 8cm. - Integer 7814

The small circle in the picture has an area of 3.5 cm². It touches from the inside and passes through the center of the large circle. What is the area of a large circle? The result round to an integer.