Circle practice problems - page 11 of 49
Number of problems found: 972
- Magnification 21383
When we increased the circle's radius by 2 cm, its area increased by 40π cm². Determine the radius of the circle before magnification.
- Lake or pond
The landlord has a square lake. Trees grow around it. The lake wants to enlarge the pond twice without cutting down or flooding any trees. How will he do that?
- Semicircle
To a semicircle with a diameter of 10 cm, inscribe a square. What is the length of the square sides?
- Logs
The log has a diameter of 30 cm. What largest beam with a rectangular cross-section can be carved from it?
- Cathethus and the inscribed circle
A right triangle is given one cathetus long 14 cm and the radius of the inscribed circle of 5 cm. Calculate the area of this right triangle.
- Circumference 6338
The circle has the same area as the square, whose circumference is 400m. Calculate the diameter of the circle.
- Percentage 82623
The square in the picture has a side length of 6 cm. What percentage of the area is the colored part?
- Everywhere 36403
We cut out the largest possible round tablecloth from a square fabric of 150x150 cm. After setting, it hung around 20 cm everywhere. What is the area of the round tabletop?
- Semicircles 7365
The playground floor plan consists of a square with a side of 8 meters and two semicircles. Calculate the length of the mantel, which is around the perimeter of the field.
- Circumference 6651
Calculate the circumference of a circle if its area is 706.5 cm²
- Diameter 6289
A circle with the largest possible diameter is cut from a square with a side length of 35 cm. What percent of the square area is waste?
- Equilateral triangle vs circle
Find the area of an equilateral triangle inscribed in a circle of radius r = 9 cm. What percentage of the circle area does it occupy?
- 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?
- Cutting square
We cut the circle with the highest possible diameter from a square with a side of 30 cm. How many percent of the square area is this circle?
- Percentage of waste
In a square plate with a side 75 cm, we cut four same circles. Calculate the percentage of waste.
- Calculate 6930
Calculate the diameter of a circle whose area S = 78.5 cm².
- Circle inscribed
There is a triangle ABC and a circle inscribed in this triangle with a radius of 15. Point T is the point of contact of the inscribed circle with the side BC. What is the area of the triangle ABC if | BT | = 25 a | TC | = 26?
- Described 7872
In the KLM isosceles triangle, the KL base is 24 cm long, and the arm measures 15 cm. What is the radius of the circle described by this triangle?
- Radius
Find the radius of the circle with area S = 200 cm².
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