Circle practice problems - page 18 of 49
Number of problems found: 972
- Larger perimeter
A square and a circle pass through two adjacent vertices of the square (endpoints of side a) and the center of the opposite side (c). Which of the plane shape has a larger perimeter?
- Intersections 3
Find the intersections of the circles x² + y² + 6 x - 10 y + 9 = 0 and x² + y² + 18 x + 4 y + 21 = 0
- Tangent 6770
A circle k (S; 2.5 cm) and a point L are given if | SL | = 4cm. Make a tangent to the circle passing through point L.
- Calculate 24511
Calculate the height of the cylinder if d = 1.6 dm and V = 489 cm³.
- Calculate 19433
The circle's diameter of the cylinder base is 6 cm, and its volume is 282.6 cm³. Calculate the cylinder surface.
- Sphere
Intersect between the plane and a sphere is a circle with a radius of 60 mm. The cone, whose base is this circle and whose apex is at the center of the sphere, has a height of 34 mm. Calculate the surface area and volume of a sphere.
- Cross-section 4343
Premium quality olive oil is sold in a glass bottle with a square cross-section packed in a special cylinder tube. The square's perimeter that forms the bottle's cross-section is 28 cm. What is the radius of this tube?
- Circle and square
An ABCD square with a side length of 100 mm is given. Calculate the circle’s radius that passes through vertices B, C, and the center of the side AD.
- Applies 14683
Point B is the center of the circle. The line AC touches the circles at point C and applies AB = 20 cm and AC = 16 cm. What is the radius of the circle BC?
- Calculate 7214
Two tangents are drawn from point C to a circle with a radius of 76 mm. The distance between the two contact points is 14 mm. Calculate the distance of point C from the center of the circle.
- Distance 4527
There are two points, K and L, KL = 4 cm. Draw a line p passing through point K and having a distance of 4 cm from point L.
- Touch x-axis
Find the equations of circles that pass through points A (-2; 4) and B (0; 2) and touch the x-axis.
- I need
I need to calculate the height of the cylinder. I have a given that the radius is 6 cm and the volume is 282.6 cm³. What is the formula for this?
- A bug
A bug was sitting on the tip of a wind turbine blade that was 24 inches long when it started to rotate. The bug held on for five rotations before flying away. How far did the bug travel before it flew off? Exact answer.
- Two circles
Two circles with the same radius, r = 1, are given. The center of the second circle lies on the circumference of the first. What is the area of a square inscribed in the intersection of given circles?
- Calculate 8252
Calculate in cm² the area of a circle whose diameter is equal to the length of the diagonal of a square ABCD with a side of 4cm.
- Diameter 16803
The large wheel of the tractor has a diameter of 1.20 m. The small wheel has a radius of 35 cm. How many turns will a small bike make on a 5 km long track?
- Circumference 7209
The speed of the points lying on the circumference of the rotating disk is 6 m/s. The speed of the points, which lie 20 cm closer to the axis of rotation, is 4 m/s. Find the angular velocity of the wheel.
- Fence from concrete
There is a 1.5 m wide trail around the lake. Dad spent 2,550 cubic decimeters of concrete in its construction. If one cubic meter costs 52 €, how much is paid for concrete?
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