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Using the arc length formulas under angle system and radian system respectively, the length of the arc corresponding to the 60 ° center angle in a circle with a radius of 1m is calculated
Angle system
Perimeter = 2 π * 1 = 2 π M
Therefore, arc length = 2 π * (60 / 360) = π / 3M
Radian
60 degrees = π / 3
So arc length = 1 * π / 3 = π / 3M
On a circle with a known radius of 240mm, the length of an arc is 500mm. Calculate the radians of the center angle of the arc
Very simple ~ according to the definition
Radian = arc length / radius
n=500/240
N is radian
Given the arc chord length of 25m and 5m, calculate the radian, arc length, center angle and circle radius. Calculate the detailed calculation formula
Given that the arc chord length L = 25m and the arch height h = 1.5m, calculate the arc length C, the center angle A and the circle radius r? The arc radius is r, and the center angle of the arc is A.R ^ 2 = (R-H) ^ 2 + (L / 2) ^ 2R ^ 2 = R ^ 2-2 * h * r + H ^ 2 + L ^ 2 / 42 * h * r = H ^ 2 + L ^ 2 / 4R = H / 2 + L ^ 2 / (8 * h) = 1.5 / 2 + 25 ^ 2 / (8 * 1.5) = 52.833m a = 2 * arc sin ((L /
One curve is arc-shaped, with a length of 12m. The center angle of the arc is 100 degrees. Find the radius r of the arc (accurate to 0.1M)
One curve is arc-shaped, with a length of C = 12M, and the center angle of the arc is a = 100 degrees. Find the radius r of the arc (accurate to 0.1M)
A = 100 degrees = 100 * pi / 180 = 1.74533 radians
r=C/A=12/1.74533=6.88m
The radius of this arc r = 6.88 meters
There is a curve with a length of 12cm, and the center angle of the arc is 81 degrees. Find the radius r of this arc How to find the radius when you know the arc length in an arc? Can you make the language easy to understand?
Analysis: it is solved by the arc formula L = n π R / 180r, i.e. 12 = 81 according to the meaning of the question × π × R/180
Solution r = 8.5 (m)
Therefore, the radius R is 8.5m
There is an arc-shaped curve with a length of 12m. The center angle of this arc is 80 °. Find the radius of this curve (accurate to 0.1M) It is the leader of Shanghai operation p132 industry
Radius of curve R:
Perimeter: arc length = 360 °: 80 °,
(2 × R × ∏):12=360°:80°,
R=(360°÷80°) × 12÷(2 × ∏)
=4.5 × 12÷(2 × 3.14)
=8.598
≈ 8.6 (m) (accurate to 0.1M)
RELATED INFORMATIONS
- 1. There is a curve in the shape of an arc, as shown in the figure. The length of the curve is 12M, and the center angle of the arc is 81 °. Find the radius r of this arc as __ (accurate to 0.1M)
- 2. Arc length equals________ The central angle of the circle opposite the arc of is called the angle of 1 radian
- 3. An ant starts from a, crawls along the polygon for a week and returns to point a, then vector AB + vector BC + vector CD + vector de + vector EF + vector FG + vector GA = ()
- 4. It is known that the edge length of regular tetrahedron a-bcd is a (four faces are congruent regular triangles), e and F are the midpoint of edges BC and ad respectively. Find the angle formed by EF and ab
- 5. The radius of the circle is 240mm. How many degrees is the center angle of the circle opposite to the arc with a length of 500mm on the circle? Why is the answer only positive
- 6. A construction company wants to build an arc-shaped curve with a radius of 30m. The center angle of the arc-shaped curve is 120 °, then the length of the curve is? (π takes 3)
- 7. Given that the chord length of the center angle with radian number 2 is also 2, the arc length of the center angle is () A. 2 B. 2sin1 C. 2sin-11 D. sin2
- 8. Radian system formula about sector arc length and area formula? Derivation formula?
- 9. As shown in the figure, points e, F, G and H are the midpoint of edges AB, BC, CD and Da of parallelogram ABCD respectively Verification: △ bef ≌ △ DGH
- 10. 2. Let a be m × N matrix, B is n × M matrix, and m < n, ab = I is known, where I is an m-order identity matrix. It is proved that the column vector group of B is linear
- 11. It is known that the arc length of an arc is equal to the side length of the inscribed regular triangle of its circle, then the radian number of the center angle of the arc is __
- 12. How many radians is the center angle of a string with a length equal to 3 times the root of the radius Trouble = give me the process
- 13. On a circle with a radius of 25mm, if the length of an arc is 50mm, the radian number of the center angle of the arc is (). For detailed explanation,
- 14. On a circle with a known radius of 120 mm, the length of an arc is 144 mm. Find the radians of the center angle of the arc Answer: |a| = 144 / 120 = 1.2, so the radian number of the center angle is 1.2 Because there is a formula, l = |a|r: the arc length is equal to the absolute value and half of the center angle (the number of radians) of the arc Product of diameters So in this question, should the answer be that the radian number of the center angle is 1.2 or - 1.2? The question does not say whether the positive angle or the negative angle should be taken into account
- 15. If the arc length of the center angle of 1 radian is equal to 2, the chord length of the center angle is equal to?
- 16. In a circle with a radius of 2, the number of radians of the center angle of the arc with an arc length of 1 is _
- 17. In a circle, the number of radians of the center angle of an arc with an arc length equal to 3 times the root of the radius is
- 18. What is the arc length of a circle with a radius of 1 and a center angle of - 3 radians?
- 19. (Lesson 11 10) on a circle with a known radius of 120mm, the length of an arc is 144MM. Find the radians of the center angle of the circle
- 20. The chord length of the center angle of 1 radian is 2. Find the arc length of the center angle and the area of the sector sandwiched by the center angle