Square root + circle - practice problems
Number of problems found: 119
- Two chords 6
A chord PQ is 10.4cm long and its distance from the centre of a circle is 3.7cm. Calculate the length of a second chord RS which is 4.1cm from the centre of this circle. - ET inscribed circle
An equilateral triangle has been inscribed in a circle with a radius of 4 cm . Find the area of the shaded region. - Two chords 2
The length of one of two chords of a circle is 12cm. If the chords are 6cm and 7cm, respectively, away from the center of the circle, calculate the length of the second chord. - Circumscribed 83363
Triangle ABC, with sides a = 15 cm, b = 17.4 cm, and c = 21.6 cm, is circumscribed by a circle. Calculate the area of the segments determined by the sides of the triangle.
- Circumscribed 83357
Calculate the radius of the circle of the circumscribed triangle, which has side dimensions of 8, 10, and 14 cm. - Perimeter 83352
A circle with a diameter of 30 cm is cut by a chord t = 16 cm. Calculate the perimeter and area of the smaller segment. - Quadrilateral 83307
The diagonal of section DBFH of the regular quadrilateral prism ABCDEFGH inscribes a circle with a diameter of 8 cm. What is the volume of the prism? - Cylinder's 83288
Calculate the radius of the cylinder's base if its volume is equal to 12.56 cm². - Hypotenuses 83154
In a right-angled triangle ABC with a right angle at the vertex C, the magnitudes of the hypotenuses are given ta=5, tb=2√10. Calculate the side sizes of triangle ABC and the circle's radius described by this triangle.
- Circumscribed 83152
Given is an isosceles triangle whose base is 8 cm, and the sides are 15 cm long. Calculate the area of the triangle and the radius of the inscribed and circumscribed circle. - Horizontal 83148
The bend has a radius of r = 100 m and is inclined at an angle of 20° to the horizontal plane (= tilt angle). What is the safe (the "best") speed to go through this curve? Sketch the picture regarding NIVS, mark the forces, and calculate. - Coordinate 82855
What is the ratio of the distance of the nearest and farthest point of the circle described by the equation x2+y2-16x-12y+75=0 from the origin of the coordinate system? - 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. - Circular 82418
A circular segment has an area of 6.04 cm², the central omega angle is 15 degrees, what is the radius?
- Determine 82394
Determine the equation of the circle that passes through the point M(-1,2) and N( 3,0) and whose center lies on the line p: x=-3+t, y=-1+t, - Equilateral 81770
Calculate the area of the circle in which the hole is cut in the shape of an equilateral triangle when the diameter of the circle, d=32mm, and the side of the triangle, a=20.8mm. - Circumscribed 81759
In triangle ABC, we know a = 4 cm, b = 6 cm, γ = 60°. Calculate the area and radius of the inscribed and circumscribed circle. - Dimensions 81608
Find out if a circle with a volume of 38.5 cm² fits into a rectangle with dimensions of 110 mm and 65 mm. - Archaeologists 81478
Archaeologists need to find out the size of the vessel if the sherd found was in the shape of a circular section with a length of 12 cm and a height of 3 cm. What is the area of this section?
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