Planimetrics + circular arc - practice problems
Number of problems found: 67
- 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 - The length
The length of the circle is 24 cm. What is the circular arc length of the corresponding angle of 30°? - Bridge
The bridge arc has a span of 72 m and height 5 m. Calculate the radius of the circle arc of this bridge. - Calculate 81590
Calculate the central angle if r = 72 cm and the arc length is 12.4 cm.
- Length of the arc
What is the arc length of a circle k (S, r=68mm), which belongs to a central angle of 78°? - 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. - Circular arc
Calculate the length of the circular arc if the diameter d = 20cm and the angle alpha = 142 ° - 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.
- 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. - Irrigation sprinkler
The irrigation sprinkler can twist at an angle of 320° and reach 12 meters. Which area can you irrigate? - Math heart
A stylized heart shape is created from a square with a side of 5 cm and two semicircles over its sides. Calculate the area and its circumference. - 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? - 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 collar
The collar on the dress has the shape of an annulus 6 cm wide. The circumference of the inner circle is 31.4 cm. How much is cm² of fabric needed to make one collar? - Circle and angle
What is the length of the arc of a circle with radius r = 207 mm with central angle 5.33 rad? - Describes 55223
The minute hand is 30 cm long. The hour hand is half as short as the minute hand. How big a track describes its endpoint in a week. - Describe 45701
The minute hand of the alarm clock is 3.5 cm long. How long will the tip of the hand describe in 1/2 hour? - Minute hand
What is the distance the clock's minute hand travels in 12 minutes if the clock's diameter is 30 cm and the hand extends to a distance of 2 cm from the edge of the clock?
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