Practice problems of the circular arc - page 3 of 4
A circular arc is a part of a circle defined by two end points lying on the circle. It is the intersection of a circle and a central angle. The length of a circular arc is calculated by the direct ratio of the central angle and the length of the entire circle. The central angle of 360° corresponds to the length of the whole circle, 180° to half of the circle's circumference, etc. A circular arc and two radii creates a geometric shape called a circular segment.Direction: Solve each problem carefully and show your solution in each item.
Number of problems found: 72
- Circle and angle
What is the length of the arc of a circle with radius r = 207 mm with central angle 5.33 rad? - Seats on carousel
There are 12 seats evenly distributed on the children's carousel in the shape of a circle. How long is the arm of the carousel (connecting the center of the carousel to the seat) if the distance between the two seats is 1.5m? - Irrigation sprinkler
The irrigation sprinkler can twist at an angle of 320° and reach 12 meters. Which area can you irrigate? - Arc
What area of a circle occupied the flowers planted in the arc of a circle with a radius 3 m with a central angle of 45°?
- Quarter circular
The wire hooked around the perimeter of the quarter-circular arc has a length of 5π+20. Determine the radius of the circle arc. - Flakes
A circle was inscribed in the square. We draw a semicircle above each side of the square as above the diameter. This resulted in four chips. Which is bigger: the area of the middle square or the area of the four chips? - Quadrant II
Calculate the radius of the quadrant, which area is equal to the area of the circle with radius r = 15 cm. - Arc
The circle arc corresponding to the angle is 32° is 28 dm long. What is the length of the entire circle? - Length of the arc
What is the arc length of a circle k (S, r=68mm), which belongs to a central angle of 78°?
- Arc
The length of the circle is 18, and the arc length of the circle is 1. What is the magnitude of the angle of this arc? - Circumference 7143
Peter drew a regular hexagon, the vertices of which lay on a circle 16 cm long. Then, for each vertex of this hexagon, he drew a circle centered on that vertex that ran through its two adjacent vertices. The unit was created as in the picture. Find the ci - The circle arc Calculate the span of the arc, which is part of a circle with diameter d = 11 m and its height is 5 m.
- Ground 8370
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? - Circle section
An equilateral triangle with side 33 is an inscribed circle section whose center is in one of the triangle's vertices, and the arc touches the opposite side. Calculate: a) the length of the arc b) the ratio between the circumference to the circle sector a
- Situation 70644
How large is the area colored brown inside a square of side 6 cm if each of the four brown circular segments is from a circle with a radius of the length of the square's side? The length of the circular segments is equal to the length of the side of the s - Arc-sector
arc length = 17 cm area of sector = 55 cm² arc angle = ? the radius of the sector = ? - 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. - 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 cm² - Quadrilateral in circle
A quadrilateral is inscribed in the circle. Its vertices divide the circle in a ratio of 1:2:3:4. Find the sizes of its interior angles.
A circle with a radius r=8 cm is divided by points K and L in a ratio of 5 to 4. Calculate the sizes of the center and circumferential angles, corresponding to both arcs and the area of the larger segment.Do you have homework that you need help solving? Ask a question, and we will try to solve it.
