Circular arc practice problems - page 2 of 4
Remember: Solve each problem thoughtfully and make sure to show your complete solution for every question.Number of problems found: 76
- Central angle arc
Calculate the central angle if r = 72 cm and the arc length is 12.4 cm. - 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 2 cm long side, the arcs of three circles are drawn from the centers at the vertices and radii 1 cm. Calculate the area of the shaded part - a formation that makes up the difference between the triangle area and circular - 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? - 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? - 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. - Track arc
Two straight railway tracks meet at an angle of 126°. They are joined by a circular arc with radius r = 1110 m. How long is the connecting arc (L)? How far is the centre of the arc from the intersection of the tracks (x)? - Circle position sketch
Sketch the relative position of the circles k1 (S1, r1 = 5 cm) and k2 (S2, r2 = 3 cm) and k / S1S2 / = 0 cm and give its name. - An Elizabethan collar
An Elizabethan collar is used to prevent an animal from irritating a wound. The angle between the opening (diameter 6 inches) with a 16-inch diameter and the side of the collar is 53 degrees. Find the surface area of the collar shown. - 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. - 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. - Arch ground length
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? - 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. - Cone semicircle proof
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. - Circular segment
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. - Alarm hand distance
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? - Flower perimeter
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 - Circle and angle
What is the arc length of a circle with radius r = 432 dm corresponding to a central angle of 0.53 rad? - Cut and cone
Calculate the volume of the rotation cone whose lateral surface is a circular arc with radius 15 cm and central angle 63 degrees.
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