Practice problems of the circular sector
Number of problems found: 54
- Circular arc
Calculate the center angle and length of the circular arc if the radius r = 21 cm and the area of the slice is 328.5 cm ^ 2
- Circular segment
What is the radius of a circular section whose central angle is 36° and the area of S = 53.095 cm ^ 2?
- Circle segment
A quarter circle with radius 4 has the same content as a circle segment with radius 3. What is the magnitude of the center angle of the circle segment?
The ornament consists of one square and four dark semicircles. The area of the square is 4 cm ^ 2. Find the area of one dark semicircle and round the result to hundreds.
The fenced flower bed has the shape of a regular hexagon. The tops are formed by fence posts. The fence around the flowerbed measures 60 m. A goat is tied to one of the pillars from the outside and grazes on the surrounding meadow (the goat should not ent
- The central
The central angle of a sector is 30° and the radius is 15 m. Determine its perimeter.
- Length of the arc
What is the arc length of a circle k (S, r=68mm), which belongs to a central angle of 78°?
We describe a circle of the square, and we describe a semicircle above each side of the square. This created 4 flakes. Which is bigger: the area of the central square, or the area of four flakes?
Mice consumed a circular hole in a slice of cheese. The cheese has the shape of a circular cut with a radius of 20 cm and an angle of 90 degrees. What percentage of the cheese ate mice if they made 20 holes with a diameter of 2 cm?
- Three segments
The circle is divided into 3 segments. Segment A occupies 1/4 of the area. Segment B occupies 1/3 of the area. What part is occupied by section C? In what proportion are areas A: B: C?
- Quarter circle
What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm?
- Quarter of a circle
Calculate the circumference of a quarter circle if its content is S = 314 cm².
- Irrigation sprinkler
The irrigation sprinkler can twist with an angle of 320° and has a reach of 12 meters. Which area can irrigate?
Calculate the pendulum's length that is 2 cm lower in the lowest position than in the highest position. The length of the circular arc to be described when moving is 20cm.
The circumference of the disk is 78.5 cm. What is the circumference of the circular arc of 32° on the disc?
- Equilateral triangle v3
Find the area of the colored gray part. An equilateral triangle has a side length of 8 cm. Arc centers are the vertices of a triangle.
- Math heart
Stylized heart shape created from a square with side 5 cm and two semicircles over his sides. Calculate the content area and its circumference.
arc length = 17 cm area of sector = 55 cm² arc angle = ? the radius of the sector = ?
What area of a circle occupied the flowers planted in the arc of a circle with radius 3 m with central angle 45°?
- Circle sector
The circular sector with a central angle 160° has an area 452 cm². Calculate its radius r.
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