Circle + right triangle - practice problems - page 6 of 13
Number of problems found: 244
- Calculate 5115
In the rotating cylinder, it is given: V = 120 cm3, v = 4 cm. Calculate r, S mantle. - Dodecagon
Find the area of a regular dodecagon (n=12) if the radius of the circumscribed circle is 5 cm. - Cone-shaped 44161
How many square meters of roofing is needed to cover the cone-shaped roof, if the perimeter of its base is 15.7m and a height of 30dm - Semicircle
The semicircle with center S and the diameter AB is constructed equilateral triangle SBC. What is the magnitude of the angle ∠SAC?
- Square inscribed
Find the length of the side of the square ABCD, which is inscribed to a circle k with a radius of 10 cm. - Circumscribed 7290
Calculate the area of a regular hexagon if the radius of the circle circumscribed is 6.8 cm. - Intersection 40981
The intersection of a plane is 2 cm from the sphere's center, and this sphere is a circle whose radius is 6 cm. Calculate the surface area and volume of the sphere. - Nonagon
Calculate the area and perimeter of a regular nonagon if its radius of the inscribed circle is r = 10cm - Touch circle
Point A has a distance (A, k) = 10 cm from a circle k with radius r = 4 cm and center S. Calculate: a) the distance of point A from the point of contact T if the tangent to the circle is drawn from point A b) the distance of the contact point T from the l
- Two chords
In a circle with a radius of 8.5 cm, two parallel chords are constructed, the lengths of which are 9 cm and 12 cm. Find the distance of the chords in a circle. - 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. - 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? - 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.
- The fence
I'm building a cloth (board) fence. The boards are rounded in a semicircle at the top. The tops of the boards between the columns should copy an imaginary circle. The tip of the first and last board forms the chord of a circle whose radius is unknown. The - Horizon
The top of a lighthouse is 19 m above the sea. How far away is an object just "on the horizon"? [Assume the Earth is a sphere of radius 6378.1 km.] - Chord 2
Point A has a distance of 13 cm from the circle's center with a radius r = 5 cm. Calculate the length of the chord connecting the points T1 and T2 of contact of tangents led from point A to the circle. - Distance problem
A=(x, x) B=(1,4) Distance AB=√5, find x; - String 63794
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?
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