Circle practice problems - page 18 of 51
Number of problems found: 1002
- Equation of the circle
Find the equation of the circle with center (3,7) and circumference of 8π units. - Circles
Three circles with radii 30 cm, 28 cm, and 37 cm are mutually tangent externally. What is the perimeter of the triangle whose vertices are the centres of the circles? - Right-angled triangle
Determine the area of a right triangle whose side lengths form successive members of an arithmetic progression, and the radius of the circle described by the triangle is 5 cm. - Circle area radius
Calculate the area of a circle whose radius is 9 m. (in square meters) - Triangle side
I have a circle with a diameter of 6.4 cm. I need to find out the length of the side of an equilateral triangle inscribed in a circle. - Circle inscribed
Calculate the perimeter and area of a circle inscribed in a triangle measuring 3, 4, and 5 cm. - Right triangle
A circle with a radius of 5 cm is described in a right triangle with a 6 cm leg. What is the height at the hypotenuse of this triangle? - Inscribed circle
The circle inscribed in a triangle has a radius of 3 cm. Express the area of the triangle using a, b, and c. - Tangent length
There is a triangle ABC whose perimeter is 2 s (2 s = a + b + c), and the circle k (S, ρ) is the inscribed circle of the triangle. Calculate the length of the tangent of the circle k from point A. - Perimeter of circle
Calculate the circumference of a described circle to the triangle with sides 9,12,15 cm. - Find radius
Find the radius of the circle using the Pythagorean theorem where a=9, b=r, c= 6+r - RT and circles
Solve the right triangle if the radius of the inscribed circle is r=9 and the radius of the circumscribed circle is R=26. - Thales
Calculate the length of the Thales' circle described to the right triangle with hypotenuse 44.2 cm. - Road roller calculation
The road roller has a base diameter of 1.2 m and a length of 180 cm. a) how many times did he turn on the road when he walked 2 km during work? b) what is the largest area it can cover if it turns 1000 times? c) how many kilometers will he travel if he co - Radiators
Calculate the radiator output if it has a thermal gradient (difference between inlet water and return temperatures) a) 5 °C b) 10 °C c) 15 °C d) 20 °C A heating water volume flow is 45 kg/h. How fast the water flows from the supply pipe to the radiator e) - Seagull
An artificially created island in the shape of a circle with a radius of 50 m is overgrown with grass. The only exception is a landing area for helicopters in the shape of a rectangle measuring 15 m and 8 m. What is the probability that the flying seagull - Truncated cone
Calculate the height of the rotating truncated cone with volume V = 1471 cm³ and a base radii r1 = 6.1 cm and r2 = 7.9 cm. - 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. - Gear chain length
A chain was stretched between two identical gears with a diameter of 40 cm. The distance between the wheel centers is 1.8 m. Calculate the length of the chain. Procedure and calculation - Waste - cutting metal
In the workshop, they cut 50 circles with a diameter of 9 cm from a rectangular sheet with dimensions of 50 cm and 100 cm. What percentage of the sheet was a waste?
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