Diagonal of Circle Problems
Number of problems found: 68
- Incircle to circumcircle
Find the ratio of the areas of the incircle and the circumcircle of a square. - Two circles 3
Two circles are inscribed in a square whose side is 4 cm. Find the radius of the smaller circle. - Circle inscribed square
What is the area of the circle that can be inscribed in a square of 10 cm? - Grassland and goat
An unfenced grassland is a right triangle ABC with AB = 4m, BC = 8m, and AC as hypotenuse. A goat is tied to a 5-m long rope with its stake at point O, which is 2m from side AB and 2m from the prolongation of side BC through corner B. Then: 1. How far is - Three inscribed objects
A circle is inscribed in a square. An equilateral triangle of side 4√3 is inscribed in that circle. Find the length of the diagonal of the square. - Annular area
The square with side a = 1 is inscribed and circumscribed by circles. Find the annular area. - Circles
The area of a circle inscribed in a square is 7. What is the area of a circle circumscribed around a square?
- Described 4187
Find the area of the circle that is a) inscribed, b) described 6.32 cm square. - Surrounded 36661
Calculate the length of the circle, which is surrounded by a square with a side length of 3 cm - Circumscription
Calculate the radius of the Circumscribed circle in the rectangle with sides 3 and 6. Can it be a rectangle inscribed by a circle? - Rectangle - desc circle
The length of the sides of the rectangle is at a ratio of 1:3. The circle's radius circumscribed to the rectangle is 10 cm. Calculate the rectangle's perimeter. - Rectangular 26091
The circular running track has a diameter of 130 meters. Can a rectangular surface with dimensions of 12m and 50m be grassed inside the circle? - Tree trunk
What is the smallest diameter of a tree trunk that we can cut a square-section square with a side length of 20 cm? - Rectangle
The rectangle is 18 cm long and 10 cm wide. Determine the diameter of the circle circumscribed by it. - Quadrilateral 78874
Given is a quadrilateral ABCD inscribed in a circle, with the diagonal AC being the circle's diameter. The distance between point B and the diameter is 15 cm, and between point D and the diameter is 18 cm. Calculate the radius of the circle and the perime
- Circumscribed circle to square
Find the length of a circle circumscribing a square side of 10 cm. Compare it to the perimeter of this square. - Logs
The log has a diameter of 30 cm. What largest beam with a rectangular cross-section can be carved from it? - Calculate 5499
Calculate the area of the circle, which is described by a square with a side length of 7.5 cm. - Cross-section 5567 What diameter must the trunk of a tree have to carve a beam with a square cross-section of 20 cm on it?
- Circular ring
A square with an area of 16 centimeters is inscribed circle k1 and described to circle k2. Calculate the area of the circular ring, which circles k1, and k2 form.
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