# Circle + rectangle - math problems

#### Number of problems found: 30

• Circumscription
Calculate radius of the Circumscribed circle in the rectangle with sides 20 and 19. It can be rectangle inscribed by circle?
• Desribed circle to rectangle
Rectangle with sides 6 cm and 4 cm was circumscribed circle. What part of the content of the circle determined by the circumscribed circle occupies a rectangle? Express in perctentages(%).
• Rectangle - desc circle
Length of the sides of the rectangle are at a ratio 1: 3 . Radius of the circle circumscribed to rectangle is 10 cm. Calculate the rectangle's perimeter.
• Rectangle and circle
The rectangle ABCD has side lengths a = 40 mm and b = 30 mm and is circumscribed by a circle k. Calculate approximately how many cm is circle long.
• 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?
• Circle and rectangle
A rectangle with sides of 11.7 cm and 175 mm is described by circle. What is its length? Calculate the content area of the circle described by this circle.
• Rectangle
The rectangle is 18 cm long and 10 cm wide. Determine the diameter of the circle circumscribed to the rectangle.
• Rectangle - parallelogram
It is given a rectangle that is circumscribed by a circle with a radius of 5 cm. The short side of the rectangle measures 6 cm. Calculate the perimeter of a parallelogram ABCD whose vertices are the midpoints of the sides of the rectangle.
• Inscribed rectangle
The circle area is 216. Determine the area of inscribed rectangle with one side 5 long.
• Inscribed rectangle
What is the perimeter of a rectangle that is inscribed in a circle whose diameter is 5 dm long? Answer: 14 dm
• Rectangle
The rectangle is 21 cm long and 38 cm wide. Determine the radius of the circle circumscribing rectangle.
• Rectangle
In a rectangle with sides, 6 and 3 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than to any side of the rectangle?
• Ratio of sides
Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in ratio 2 to 7.
• Running
The length of the inner edge of the running oval is 400 m. The straight sections measure 90 m. Calculate the dimensions of the oval - the rectangle where this oval can fit.
• Cylinders
The area of the side of two cylinders is the same rectangle of 33 mm × 18 mm. Which cylinder has a larger volume and by how much?
• Pagans
Elena cut out same circle-shaped pagans and put them on a rectangular sheet so that the neighboring pagans were touching each other and the pagans were touching the walls of the sheet on the edges. Each pagans occupied 28.26 cm2 of the bottom of the sheet
• Circular pool
The base of the pool is a circle with a radius r = 10 m, excluding a circular segment that determines the chord length 10 meters. The pool depth is h = 2m. How many hectoliters of water can fit into the pool?
• Roller
Cylinder shell has the same content as one of its bases. Cylinder height is 15 dm. What is the radius of the base of the cylinder?
• Cylinder - basics
Cylinder with base radius r = 45 dm and height h=22 dm. Calculate:
• Shell of cylinder
Calculate the content of shell the 1.6 m height cylinder with a base radius of 0.4 m.

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Circle Problems. Rectangle Problems.