Circle practice problems - page 32 of 51
Number of problems found: 1002
- Prove
Prove that k1 and k2 are the equations of two circles. Find the equation of the line that passes through the centers of these circles. k1: x²+y²+2x+4y+1=0 k2: x²+y²-8x+6y+9=0 - General trapezoid
In general trapezoid VLAK, the following are given: |VL| = 5.5 cm; |VK| = 3.5 cm; |LK| = 4.8 cm; |∠VLA| = 70°. Divide it into two triangles by drawing a diagonal. Label the newly created points. Write down the lengths of the line segments. Complete the co - Nonagon
Calculate the area and perimeter of a regular nonagon if its radius of the inscribed circle is r = 10 cm. - Cone surface volume
Calculate the surface and volume of a rotating cone whose base circumference is 125.6 cm and the side is 25 cm long. - Circumscribed triangle
Calculate the radius of the circle of the circumscribed triangle, which has side dimensions of 8, 10, and 14 cm. - Chimney
The lower circumference of the chimney is 12.57 m, and the top circumference is 5.655 m. The slope of the walls is 87°. Find the height of the chimney. - Height as diameter of base
The rotary cylinder has a height equal to the base diameter and a surface of 471 cm². Calculate the volume of a cylinder. - Equation of the circle
Find the equation of the circle with the center at (1,20), which touches the line 8x+5y-19=0 - Concrete columns
How much concrete is needed to pour 8 concrete columns with a square base: a = 38 cm, the height of the columns being 6.2 m? Each column has a cylindrical cavity with a diameter of 15 cm. - The Earth
The Earth's surface is 510,000,000 km². Calculates the radius, equator length, and volume of the Earth, assuming the Earth has the shape of a sphere. - Rotary cone
A rotary cone whose height is equal to the circumference of the base has a volume 2488 cm³. Calculate the radius of the base circle and the height of the cone. - Earth's circumference
Calculate the length of the circle of latitude at 48°10′ on Earth. - Cylinder height calculation
What is the height of the cylinder if the volume is 8,478 cubic meters and the area of the base of the cylinder is 706.5 cm square? - Roller
Roller has a diameter of 0.89 m and a width of 225 cm. How many m² of road level when he turns 30-times? - Cylinder radius
Calculate the radius of the base of the cylinder with a volume of 10 dm³ and a height of 15 cm. - What is
What is the height of a cylinder whose surface size is 602.88 cm² and the area of its shell is 376.8 cm²? - Metal balls
Four metal balls with a diameter of 5 cm are placed in a measuring cylinder with an inner diameter of 10 cm. What is the smallest water volume to be poured into the cylinder so that all balls are below the water level? - Glass of juice
A cylindrical glass 13 cm tall with a base diameter of 9 cm is filled with juice to a level 3 cm below the rim. Determine the maximum angle to which the glass can be tilted without the juice spilling. - Cylinder radius volume
Calculate the radius of the cylinder's base if its volume is equal to 12.56 cm². - Road roller area The road roller has a diameter of 1.2 m and a width of 1.8 m. How many square meters will the road level if it turns 20 times?
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