Circle + geometry construction - practice problems - page 2 of 4
Number of problems found: 65
- Tinsmith
Tinsmith constructs chimney pipe 145 cm long and 15 cm wide. A pipe is made from the plate overlap at the joint and needs to add $x cm width of the plate. What dimensions of the sheet will have to be prepared for the construction? - Complete construction
Construct triangle ABC if hypotenuse c = 7 cm and angle ABC = 30 degrees. / Use Thales' theorem - circle /. Measure and write down the length of the legs. - Relative 8009
Sketch the relative position of the circles k1 (S1, r1 = 5cm) and k2 (S2, r2 = 3cm) and k / S1S2 / = 0 cm and give its name. - Distance 15203
In the plane, the points A, B, and C are given 3 cm apart, and they do not lie in the same straight line. Mark the set of all points whose distance from all three points is less than or equal to 2.5 cm.
- Equilateral 14873
There is a circle with a radius of 2.5 cm and point A, which lies on it. Write an equilateral triangle ABC in the circle. - Construct
Construct a triangle ABC inscribed circle has a radius r = 2 cm, the angle alpha = 50 degrees = 8 cm. Make a sketch, analysis, construction, and description. - Ruler and compass
Use a ruler and compass to construct a triangle ABC with AB 5cm BAC 60° and ACB 45°. - Draw triangle
Construct right triangle MNO with hypotenuse o = 5 cm and angle MNO = 37° - Belongs 8412
Given a circle k(O; 2.5 cm), a line p: /Op/=4 cm, a point T: T belongs to p and at the same time /OT/=4.5 cm. We must find all the circles that will touch the circle k and the line p at point T.
- Circle tangent
It is given to a circle with the center S and a radius of 3.5 cm. The distance from the center to line p is 6 cm. Construct a circle tangent n which is perpendicular to the line p. - 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. - 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. - Tangents construct
The circle k is given k (S; 2.5 cm) and an outer line p. Construct a tangent t of the circle that has a line p angle 60°. How many solutions have the task? - Construct 80719
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.
- (diagonal) 30621
The ABCD diamond shape we known diagonal u2 and a height v. Do an analysis. - Simultaneously 5010
Construct the circles k1 (S1;r1) and k2(S2;r2), if S1 S2 = 7 cm, d1= 12 cm and r2 = 1/2 r1. Mark the point: a) A lying on circle k1, b) B lying in both circles determined by circles k1 and k2, c) C lying simultaneously on both circles, d) D, for which: (S - Conditions 7186
Given an isosceles right triangle ABS with base AB. On a circle centered at point S and passing through points A and B, point C lies such that triangle ABC is isosceles. Determine how many points C satisfy the given conditions and construct all such point - Perpendicular 2511
Draw a circle k/S 4.5 cm/. Next, draw: and/two mutually perpendicular diameters AB and CD b/two radii SA and SE which form an angle of 75 degrees c/chord /KL/= 4 cm d/chord /MN/, which is perpendicular to KL - Connect 6500
Draw the line KL = 55mm. Draw a circle k with center K and radius 4cm. Mark the points to belong to the circle and connect them with point L.
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