Circle practice problems - page 40 of 50
Number of problems found: 995
- Concentric circle construction
Construct three concentric circles k, l, m with center at point S and with radii 2cm, 3cm, and 40mm - Circle chord construction
Two line segments of different lengths are given. Construct a circle k so that both line segments are its chords. - Triangle
In triangle ABC, there is a point S with the center of the inscribed circle. The area of quadrilateral ABCS is equal to four-fifths of the area of triangle ABC. The lengths of the sides of triangle ABC expressed in centimeters are all integers and the - Rhombus
It is given a rhombus with a side length of a = 20 cm. Touchpoints of the inscribed circle divided its sides into sections a1 = 13 cm and a2 = 7 cm. Calculate the radius r of the circle and the length of the diagonals of the rhombus. - Arch ground length
The arch has a radius of 3.3 m, a span of 3.25 m, and a height of 20 cm above the ground. What is the length of the arc to reach the ground? - Chord circle length
The chord AB is in the circle k with a radius of 13 cm. The center C of the string AB is 5 cm from the center S of the circle. How long is the AB string? - Concentric circles
A circle K with radius r = 8 cm is given. How big a radius must a smaller concentric circle divides a circle K into two parts with the same area? - Annulus from triangle
Calculate the area of the area bounded by a circle circumscribed and a circle inscribed by a triangle with sides a = 25mm, b = 29mm, c = 36mm. - Inscribed triangle
A circle is an inscribed triangle, and its vertices divide the circle into three arcs. The length of the arcs is in the ratio 2:3:7. Find the interior angles of a triangle. - Rhombus construction
Construct ABCD rhombus if its diagonal AC=9 cm and side AB = 6 cm. Inscribe a circle in it, touching all sides. - Pentagonal prism
The regular pentagonal prism is 10 cm high. The radius of the circle of the described base is 8 cm. Calculate the volume and surface area of the prism. - Pool water calculation
The bottom of the garden pool of circular cross-section has an inner diameter of d = 4 m. The water depth is 0.8 m. How many liters of water can we fill into the pool? - Two parallel chords
The two parallel chords of the circle have the same length of 6 cm and are 8 cm apart. Calculate the radius of the circle. - Rhombus and inscribed circle
It is given a rhombus with side a = 6 cm and the inscribed circle r = 2 cm radius. Calculate the length of its two diagonals. - Triangle construction
Construct triangle KLM if side m=6.5 cm, median to the side m tm=4 cm, height to side m: vm=3.2 cm - Trisection of a line segment
Divide the line segment AB into three equal parts. Instructions: Construct an equilateral triangle ABC and find its center (e.g., the described circles). - Road Roller Surface Area
The road roller is 2 m long and 1 m in diameter. How many square meters of road roll when it turns 15 times? - Octagon area
An irregular convex octagon is inscribed in the circle. Its four adjacent sides have a length of 3, and the remaining four adjacent sides have a size of 2. What is the area of a given octagon? - Rectangle construction diagonal
Construct a rectangle ABCD if a = 8cm and the length of the diagonal AC is 13cm. Measure the length of the sides of the rectangle. - Central angle
A circle k with a center at point S and a radius of 6 cm is given. Calculate the size of the central angle subtended by a chord 10 cm long.
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