# Circle + square - problems

1. Annular area
The square with side a = 1 is inscribed and circumscribed by circles. Find the annular area.
2. Square and circles
Square with sides 83 cm is circumscribed and inscribed with circles. Determine the radiuses of both circles.
3. MO circles
Juro built the ABCD square with a 12 cm side. In this square, he scattered a quarter circle that had a center at point B passing through point A and a semicircle l that had a center at the center of the BC side and passed point B. He would still build a ci
4. Circles
Area of circle inscribed in a square is 14. What is the area of a circle circumscribed around a square?
5. Squaring the Circle
Calculating side of the square with the same area as the circle of radius 18.
6. Pipeline
How much percent has changed (reduced) area of pipe cross-section, if circular shape changed to square with same perimeter?
7. Square and circle
Into square is inscribed circle with diameter 10 cm.What is difference between circumference square and circle?
8. Logs
The log has diameter 30 cm. What's largest beam with a rectangular cross-section can carve from it?
9. Round table
Round table with diameter d = 105 cm is coated by square tablecloth with a side length 121 cm. About how many cm is higher center of tablecloth than its cornes?
10. Percentage of waste
In a square plate with side 75 cm we cut 4 same circles. Calculate the percentage of waste.
11. Three shapes
1/5 of a circle is shaded. The ratio of area if square to the sum of area of rectangle and that of the circle is 1:2. 60% of the square is shaded and 1/3 of the rectangle is shaded. What is the ratio of the area of circle to that of the rectangle?
12. Cutting circles
From the square 1 m side we have to cut the circles with a radius of 10 cm. How many discs we cut and how many percent will be waste?
13. Semicircle
To a semicircle with diameter 10 cm inscribe square. What is the length of square sides?
14. Mrak - cloud
It is given segment AB of length 12 cm, where one side of the square MRAK laid on it. MRAK's side length 2 cm shown. MRAK gradually flips along the line segment AB the point R leaves a paper trail. Draw the whole track of point R until square can do the.
15. Silver medal
To circular silver medal with a diameter of 10 cm is inscribed gold cross, which consists of five equal squares. What is the content area of silver part?
16. Square circles
Calculate the length of the described and inscribed circle to the square ABCD with a side of 5cm.
17. Star
Calculate the content of the shaded part of square with side 28 cm.
18. Math heart
Stylized heart shape created from a square with side 5 cm and two semicircles over his sides. Calculate the content area and its circumference.
19. Quatrefoil
Calculate area of the quatrefoil which is inscribed in a square with side 6 cm.
20. Circumscribed circle to square
Find the length of a circle circumscribing a square of side 10 cm. Compare it to the perimeter of this square.

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