Circular arc practice problems - page 2 of 4
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 75
- 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
- Semicircle 82687
If the shell of a cone is a semicircle, then the diameter of the cone's base is equal to its side's length. Prove it.
- 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.
- Angle ASB
On a circle with a radius of 10 cm and with a center S, the points A, B, and C are given so that the central angle ASB is 60 degrees and the central angle ASC is 90 degrees. Find the length of the circular arc and the amount of AB and AC offsets.
- Ratio of squares
A circle is given, and a square is inscribed. The smaller square is inscribed in a circular arc formed by the square's side and the circle's arc. What is the ratio of the areas of the large and small squares?
- Inscribed triangle
A circle is an inscribed triangle, and its vertices divide the circle into three arcs. The length of the arcs is in the ratio 2:3:7. Find the interior angles of a triangle.
- Bridge
The bridge arc has a span of 159 m and a height of 14 m. Calculate the radius of the circle arc of this bridge.
- 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?
- Corresponding 59063
Calculate the radius and area of the circular segment if the center angle = 106° and the length of the corresponding circular arc is l = 52 cm.
- Describe 45701
The minute hand of the alarm clock is 3.5 cm long. How long will the tip of the hand be described in 1/2 hour?
- Disc
The circumference of the disk is 78.5 cm. What is the circumference of the circular arc of 32° on the disc?
- Pendulum
Calculate the pendulum's length 2 cm lower in the lowest position than in the highest position. The circular arc length to be described when moving is 20cm.
- Quarter of a circle
Calculate the circumference of a quarter circle if its area is S = 314 cm².
- Diameter 5668
The span of the arc is 247 cm, and the height of the arc is 21.5 cm. What is the diameter of the circle?
- Circular railway
The railway connects points A, B, and C in a circular arc, whose distances are | AB | = 30 km, AC = 95 km, and BC | = 70 km. How long will the track be from A to C?
- Math heart
A stylized heart shape is created from a square with a 5 cm long side and two semicircles over its sides. Calculate the area and its circumference.
- Track arc
Two straight tracks are at an angle 74°. They will join with a circular arc with a radius r=1127 m. How long will the arc be connecting these lines (L)? How far is the arc's center point from track crossings (x)?
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