The chord length is 110 cm, the arc length is 120 cm, and the arch height is 19 5 cm, right? 5

Updated on educate 2024-04-29
6 answers
  1. Anonymous users2024-02-08

    From the chord length of 110cm and the height of the arch, it is calculated:

    Radius r = diameter d =

    The central angle rad=

    The central angle °=

    Arc length l=cm (less than 120).

  2. Anonymous users2024-02-07

    Set the radius of the wild fierce to know the roll r

    r²-(r-4)²=10÷2)²

    8r-16=25

    8r=41r=

    Center angle = 2 arcsin (10 2

    Arc length = Song Bridge centimeters.

  3. Anonymous users2024-02-06

    Summary. To determine the arc length with a chord length of 5 meters (500 cm) and an arch height of 22 cm, we can solve this problem with some geometric knowledge. First, we can determine the radius of the circle in which the arc is located by the arch height and chord length.

    We know that the arch height is the distance from the midpoint of the arc to the midpoint of the string, that is, the distance perpendicular to the string. We can divide the string into two equal parts to form a right triangle where half of the string is the base and the arch is high. Suppose the radius is r, half of the chord is b (i.e. 250 cm), and the arch height is h (i.e. 22 cm).

    According to the Pythagorean theorem, we can get: R2 = B2 + H2 Substituting the known b and h values into the formula, we get: R2 = 250 2 + 22 2R2 = 62500 + 484R2 = 62984r 251 So the radius of the circle is about 251 cm.

    Now we need to find the arc length. According to the arc length formula, the arc length l = r * where is the central angle (in radians) corresponding to the arc. We can use the inverse trigonometric function to calculate :

    2*arctan(bh) substituting the known b and h values into the formula, we get: 2*arctan(250-22) 2*arctan(2*radians.

    To determine the arc length with a chord length of 5 meters (500 cm) and an arch height of 22 cm, we can solve this problem with some geometric knowledge. First, we can determine the radius of the circle in which the arc is located by the arch height and chord length. We know that the arch height is the distance from the midpoint of the arc to the midpoint of the string, that is, the distance perpendicular to the string.

    We can divide the chick into two equal parts, forming a right triangle with half of the chord as the base and the arch as the high. Suppose the radius is r, half of the chord is b (i.e. 250 cm), and the arch height is h (i.e. 22 cm). According to the Pythagorean theorem, we can get:

    r 2 = b 2 + h 2 substituting the known b and h values into the formula, we get: r 2 = 250 2 + 22 2r 2 = 62500 + 484r 2 = 62984r 251 so the radius of the circle is about 251 cm. Now we need to find the arc length.

    According to the arc length formula, the arc length l = r * where is the central angle (in radians) corresponding to the arc. We can use the inverse trigonometric function to calculate: 2 * arctan(b h) substituting the known b and h values into the formula, and I get the following results

    2 * arctan (250 22) 2 * arctan ( 2 * radian.

    Now we can use the arc length formula to calculate the arc length: l = r * l number family 251 * cm, so this chord length is 5 meters (500 cm), and the arc length of the arch height is about 22 cm.

  4. Anonymous users2024-02-05

    Summary. The chord length is meters, the arch height is meters, and the arc length is sought.

    Is this the case with graphics.

    Such, dear.

    Okay, I'll do the math.

    This problem is calculated using the Pythagorean theorem, so take a look at it.

    used in life.

    Probably, the answer is yes.

    I know the width and height, but I don't know exactly how much material is used, can you give me a rough answer?

    I know that there is no rough answer to mathematics, so it is not rigorous to say that. Around.

  5. Anonymous users2024-02-04

    Summary. The arc length is.

    The arc length is first used to find the radius and then the inverse of the trigonometric function is used to find the angle.

    That's half the angle, so multiply by 2 and divide that angle by 360 degrees, which is the fraction of the arc around the entire circumference.

    So the last arc length is.

    Roger that. Thank you.

    I'm sorry, because the calculation is more complicated, so it took a little more time.

  6. Anonymous users2024-02-03

    Summary. Hello, let the radius be r meters, by the perpendicular diameter theorem, the Pythagorean theorem, get.

    r 2=(, simplified, r=

    Let the central angle of the circle be 2a radians, then sina = , a , arc length = 2ar meters.

    Arc length 1310 arch height 132 to find what is the chord length, hello, let Huai Wang answer radius for Ling call r meters, by the vertical diameter theorem, Pythagorean theorem, get r 2 = (, simplification lead Huide, r = let the center angle of the circle be 2a radian, then sina =, a, arc length = 2ar meters.

    Uh-huh, dear, that's the answer.

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