# Practice problems of the circular arc

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 graph

Erica surveyed students at her school about their favorite type of music. She made a circle graph to show the results. The central angle for the section of the graph that represents country music measures 72°. If 45 classmates chose the country as their f - Half-circles 81731

A skier skis down a black slope. He makes a total of 31 half-circles while going down the hill. The radius of one semicircle is 4m. What distance did he travel? - Acceleration

Describe how the cyclist's acceleration changes on individual sections (sections AB plane, BC turn, CD plane, DA turn), which describes the trajectory in the shape of an eight at a constant speed. The speed on the cyclist's tachometer is constant. - A bridge

The bridge over the river has the shape of an arc. The bridge is 10 feet above the water at the center of the river. At 27 feet from the river's edge, the bridge is 9 feet above the water. How wide is the river?

- 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. - Velocipedes

In the 19th century, bicycles had no chain drive, and the wheel axis connected the pedals directly. This wheel diameter gradually increased until the so-called high bikes (velocipedes) with a front-wheel diameter of up to 1.5 meters, while the rear wheel - The big clock

The big clock hands stopped at a random moment. What is the probability that: a) a small hand showed the time between 1:00 and 3:00. b) the big hand was in the same area as a small hand in the role of a)? c) did the hours just show the time between 21:00 - Clocks

What distance will describe the tip of a minute hand 6 cm long for 20 minutes when we know the starting position with finally enclosed hands each other 120°? - Corresponding 7621

The length of the circular arc at the corresponding angle of 120 ° is 8 cm. What is the size of the whole circle? What is its radius?

- Circumference 22503

The perimeter of the round bed is 36m. Find the length of the part of its circumference that belongs to the given center angles of 180° - The bridge

A vehicle weighing 5,800 kg passes 41 km/h on an arched bridge with a radius of curvature of 62 m. What force pushes the car onto the bridge as it passes through the center? What maximum speed can it cross over the center of the bridge, so it does not fly - Running

The length of the inner edge of the running oval is 400 m. The straight sections measure 90 m. Calculate the dimensions of the oval - the rectangle where this oval can fit. - Circular arc

Calculate the length of the circular arc if the diameter d = 20cm and the angle alpha = 142 ° - Circumference 81778

Points A and B lie on the circle k. The circumference of the circle k is 40 CM, and the length of the circular arc AB is 10 CM. Determine the size of the angle ABS.

- Calculate 7111

Calculate the length of the arc, which will describe the endpoint of a longer hand 10 cm long wall clock after 20 minutes. - Calculate 81590

Calculate the central angle if r = 72 cm and the arc length is 12.4 cm. - Square and circles

The square in the picture has a side length of a = 20 cm. Circular arcs have centers at the vertices of the square. Calculate the areas of the colored unit. Express area using side a. - The length

The length of the circle is 24 cm. What is the circular arc length of the corresponding angle of 30°? - Eq triangle minus arcs

In an equilateral triangle with a 2cm long side, the arcs of three circles are drawn from the centers at the vertices and radii 1cm. Calculate the area of the shaded part - a formation that makes up the difference between the triangle area and circular cu

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