Circle practice problems - page 33 of 50
Number of problems found: 989
- Roller
The cylinder shell has the same area as one of its bases. The cylinder height is 23 dm. What is the radius of the base of the cylinder?
- Cylinder - basics
Cylinder with base radius r = 24 cm and height h=62 cm. Calculate: a) Area of the base
- Axial section
The axial section of the cylinder is diagonal 45 cm long, and we know that the area of the side and the base area are in ratio 6:5. Calculate the height and radius of the cylinder base.
- Circle - analytics geometry
Write the equation of the circle that passes through the points Q[3.5] R[2.6] and has its center on the line 2x+3y-4=0.
- RT - inscribed circle
In a rectangular triangle with sides lengths> a = 30cm and b = 12.5cm, the right angle is at vertex C. Calculate the radius of the inscribed circle.
- Triangle - many properties
In a right triangle ABC with a right angle at the vertex C, it is given: a = 17cm, Vc = 8 cm. Calculate the length of the sides b, c, its area S, the perimeter o, the length of the radii of the circles of the triangle circumscribed by R and inscribed r an
- Sphere in cone
A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the ball's surface and the area of the base is 4:3. A plane passing through the axis of a cone cuts the cone in an isosceles triangle
- 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
- Minute hand
What is the distance the clock's minute hand travels in 12 minutes if the clock's diameter is 30 cm and the hand extends to a distance of 2 cm from the edge of the clock?
- Equation of the circle
Find the equation of the circle with the center at (1,20), which touches the line 8x+5y-19=0
- Construction 83662
Using Euclid's theorems, construct a triangle ABC with height on side c and size v = √8 cm. Choose the length of the hypotenuse c correctly. Write the construction procedure.
- Perimeter 59
The perimeter of a circular bed is 36m. Find the length of the part of its perimeter that corresponds to the given central angles: 90°,45°30°,120°,15°
- Corresponding 7621
The length of the circular arc at the corresponding angle of 120 ° is 8 cm. What is the size of the whole circle? What is its radius?
- Circular motion
The mass point regularly moves in a circle with radius r = $r m angular velocity ω = 4.3 rad/s. Calculate the period, frequency, and centripetal acceleration of this movement.
- Tablecloth's 28511
The round tabletop has a capacity of 2.01 m². Calculate the diameter of the round tablecloth if it exceeds the table's edge by 25 cm.
- Surface and volume
Find the surface and volume of the rotating cone if the circumference of its base is 62.8 m and the side is 25 m long.
- Shell of cylinder
Calculate the area of the shell of the 1.6 m height cylinder with a base radius of 0.4 m.
- Solutions 45511
Two parallel chords in a circle with a radius of 6 cm have lengths of 6 cm and 10 cm. Calculate their distance from each other. Find both solutions.
- Determine 82341
Determine the equation of the circle that is the set of all points of the plane that are twice as far from the point [3,7] as they are from the point [0,1].
- Calculate 16223
The following elements are known in the right triangle ABC: a = 10 cm, height to side c h = 9.23 cm. Calculate o, R (radius of the inscribed circle), r (radius of the inscribed circle).
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