Circle practice problems - page 32 of 50
Number of problems found: 990
- Hot air balloon
The center of the balloon is at an altitude of 600 m above the ground (AGL). The observer on earth sees the center of the balloon at an elevation angle of 38°20'. The balloon is seen from the perspective of an angle of 1°16'. Calculate the diameter of the
- Triangle - many properties
In a right triangle ABC with a right angle at the vertex C, it is given: a = 17cm, Vc = 8 cm. Calculate the length of the sides b, c, its area S, the perimeter o, the length of the radii of the circles of the triangle circumscribed by R and inscribed r an
- Approximately 28431
On the 200th anniversary of the birth of Ľudovít Štúr, the National Bank of Slovakia issued a commemorative two-euro coin in 2015, the diameter of which is 25.75 mm. The nickel-brass center is approximately 18 millimeters in diameter; the rest of the coin
- Circle from string
Martin has a long 628 mm string. He makes a circle from it. Calculate the radius of the circle.
- Posters
A column with posters in the form of a cylinder is 2 m high, and its diameter is 1.7 m. What is the area in which it is possible to stick posters?
- Circle and rectangle
The circle describes a rectangle with sides of 11.7 cm and 175 mm. What is its length? Calculate the area of the circle described by this circle.
- Trigonometric formula
Determine the value of the function tg x (tangent) when cotan x = -0.8 (cotg or cotangent); x holds in the second quadrant)
- Sphere in cone
A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the ball's surface and the area of the base is 4:3. A plane passing through the axis of a cone cuts the cone in an isosceles triangle
- Mrak - cloud
It is given segment AB, which is 12 cm in length, on which one side of the square MRAK is laid. MRAK's side length is 2 cm shown. MRAK gradually flips along the line segment AB, and point R leaves a paper trail. Draw the whole track of point R until the s
- Cylinder - basics
Cylinder with base radius r = 24 cm and height h=62 cm. Calculate: a) Area of the base
- Construction 55311
Construct a KLM triangle where side k is 6.7 cm, the line to the k side is 4.1 cm, and the LKM angle is 63 degrees. Write the construction procedure.
- Isosceles IV
In an isosceles triangle ABC is |AC| = |BC| = 13 and |AB| = 10. Calculate the radius of the inscribed (r) and described (R) circle.
- Inscribed circle
XYZ is a right triangle with a right angle at the vertex X and an inscribed circle with a radius of 5 cm. Find the area of the triangle XYZ if XZ = 14 cm.
- Annulus
Calculate the area of two circles annulus k1 (S, 3 cm) and k2 (S, 5 cm).
- North Pole
What is the shortest distance across the globe's surface on a scale of 1:1,000,000 from the equator to the North Pole?
- Circumference 56291
Calculate the circumference of a circle circumscribed by a right triangle with squares 10 cm and 15 cm long.
- Roller
The cylinder shell has the same area as one of its bases. The cylinder height is 23 dm. What is the radius of the base of the cylinder?
- Cylinder from paper
We roll a cylinder with a height of 30 cm from a rectangle measuring 20 x 30 cm. Find its volume and surface.
- Perpendiculars 64574
Calculate the circle radius circumscribed by a right triangle whose perpendiculars are 10 cm and 24 cm long.
- Coat of arms
The class created its coat of arms, which had a shape composed of an isosceles trapezoid ABCD (shorter base is a = 4.5 cm long, longer 2a = 9 cm, trapezoid height 6 cm) and a semicircle with center S and diameter AB. Three identical isosceles triangles fo
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