Circle practice problems - page 34 of 51
Number of problems found: 1002
- The triangle
Three vertices give the triangle: A [0.0] B [-4.2] C [-6.0] Calculate V (intersection of heights), T (center of gravity), O - the center of a circle circumscribed - A bridge
The bridge over the river has the shape of an arc. The bridge is 10 feet above the water at the center of the river. At 27 feet from the river's edge, the bridge is 9 feet above the water. How wide is the river? - Slant height
Find the cone's volume. The cone's slant height is 5 cm, and the radius of its base is 3 cm. - A cylinder
A cylinder 108 cm high has a circumference of 24 cm. A string makes exactly six complete turns around the cylinder while its two ends touch the top and bottom. (forming a spiral around the cylinder). How long is the string in cm? - Spherical cap 4
What is the surface area of a spherical cap, the base diameter of 20 m, and the height of 2.5 m? Calculate using the formula. - Cylinder Bottom Diameter
There are 62.8 liters of water in the cylinder. The water level is 0.5 meters. Determine the bottom diameter. - Gutter pipe material
How much sheet metal do we use to produce a gutter pipe in the shape of a hollow half-cylinder 20 m long and 16 cm wide if we count 8% for bending and welding? - Circular railway
The railway connects points A, B, and C in a circular arc, whose distances are | AB | = 30 km, AC = 95 km, and BC | = 70 km. How long will the track be from A to C? - Inscribed circle
A circle is inscribed at the bottom wall of the cube with an edge (a = 1). What is the radius of the spherical surface that contains this circle and one of the vertex of the top cube base? - Round table tablecloth
The round table has an area of 50.24 dm². Calculate the circular tablecloth diameter if it extends beyond the table's edge by 30 cm. - Track arc
Two straight railway tracks meet at an angle of 126°. They are joined by a circular arc with radius r = 1110 m. How long is the connecting arc (L)? How far is the centre of the arc from the intersection of the tracks (x)? - Rectangle circle construction
How to build a rectangle using only circles - Square and circles
The square in the picture has a side length of a = 20 cm. Circular arcs have centers at the vertices of the square. Calculate the areas of the colored unit. Express area using side a. - Garden flower calculation
In a square garden with a side length of 12 m, there are two circular flower beds with a diameter of 4 m, and the rest is grass. Determine the area that is overgrown with grass. What percentage of the garden is occupied by flower beds? - Pool tarpaulin cost
The circular pool with a diameter of 3.5 m is covered with a circular tarpaulin made of rubberized fabric for CZK 110 per square meter. Determine how much the tarpaulin cost if you know that its radius is 25 cm larger than the radius of the pool. - Vertex of the rectangle
Determine the coordinates of the vertex of the rectangle inscribed in the circle x²+y² -2x-4y-20=0 if you know that one of its sides lies on the line p: x+2y=0 - Grass seeds
How many kg of grass seed is needed to be sowing a circular field with a diameter of 120 meters when one m² should be used in 0.8 grams of seeds? - Rectangle
The rectangle is 21 cm long and 38 cm wide. Find the radius of the circle circumscribing the rectangle. - Circle position sketch
Sketch the relative position of the circles k1 (S1, r1 = 5 cm) and k2 (S2, r2 = 3 cm) and k / S1S2 / = 0 cm and give its name. - Circle chord
Determine the circle's radius in which the chord 15 cm away from the center is 21 cm longer than the circle's radius.
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