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The longest chord of a circle is its diameter

SpletThe longest chord in a circle is the diameter of the circle. The perpendicular from the centre of a circle to a chord bisects the chord (splits the chord into two equal parts). In the diagram above, AB is a chord and CE is a radius. Here we can see that the radius CE bisects the chord AB at 90 degrees and the lengths AD = B D = x. Splet03. jul. 2024 · The diameter of a circle, by contrast, is the longest distance from one edge of the circle to the opposite edge. The diameter is a special type of chord, a line that joins any two points of a circle. The diameter is twice as long as the radius, so if the radius is 2 inches, for example, the diameter would be 4 inches. If the radius is 22.5 ...

Assertion: A diameter of a circle is the longest chord of the circle ...

Splet24. feb. 2024 · Ans.4 A chord of a circle is a straight line segment whose endpoints both lie on a circular arc thus dividing a circle into two segments. In short, the chord of a circle can be stated as a line segment joining two points on the circumference of the circle. The diameter is the longest chord of the circle. Splet15. jun. 2013 · So, the maximum length of the chord AB can be equal to AO + BO . Now AO and BO are the radii of the circle, hence AO + BO = 2r = d (diamter of the circle). So, maximum length of the chord AB = AO + BO = d Hence diameter of the circle represents the longest chord in the circle. Answered by 15 Jun, 2013, 09:26: PM Application Videos cura support density tree https://familysafesolutions.com

Geometry Unit 10 Lesson 3 Chords Answers

SpletFormula to Calculate Length of a Chord. Chord Length Using Perpendicular Distance from the Center. Chord Length = 2 × √ (r 2 − d 2) Chord Length Using Trigonometry. Chord … SpletA circle has radius 2 cm. What is the length of its longest chord? A circle is of radius 5cm. Its longest chord will be 5cm 8cm 10cm 15cm Diameter = longest chord. =2radius=25. =10cm. Thus, (C) is correct. 764 Math Experts 4.6/5 Quality score Splet18. jan. 2024 · A Computer Science portal for geeks. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. cura string test

The diameter is the longest chord of a circle True or False

Category:What is a Chord in Math? How to Draw a Chord Study.com

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The longest chord of a circle is its diameter

The longest chord of a circle is - Toppr Ask

SpletThe circumference of a circle is pi times its diameter. Circumference = π * Diameter. Diameter of a Circle. The diameter of a circle is the distance from one edge to the other, passing through the center. It is twice the radius. Diameter. Circle Circumference by Diameter (results are rounded) Diameter m ft; 24.0 m: 75.40: 247.4: 24.1 m: 75.71 ... Splet29. mar. 2024 · A diameter is considered a chord because it is a segment through a circle, passing through its center. It is the longest chord. A radius, however, is not considered a chord because...

The longest chord of a circle is its diameter

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SpletWhat Is a Circle? A circle is a round-shaped figure such has no corners or edges. In geometry, a circle can be defined as a closed shape, two-dimensional shape, curved shape. A few things around us that are circularly in shape are a driving tire, a wall clock that tells hour, and a lollipop. SpletThe diameter is the longest chord of a circle, whereby the perpendicular distance from the center of the circle to the chord is zero. Two radii joining the ends of a chord to the center of a circle form an isosceles triangle. 14. Write TRUE if the statement is correct and FALSE if it is not.1.Two chords always have the same length2.Two radii ...

Splet29. okt. 2024 · 3. Apothem: connects the center of the circle to the point of bisection of the chord. 4. Diameter (special chord): the longest possible chord of a circle. It passes through the center of the ... SpletLength of diameter = 2 × radius. So, Reason is false. Also, chord is a line connecting two points on a circle. The farthest points are the ones which are collinear to the centre of the …

Splet23. mar. 2024 · Therefore, we see that the diameter is, in fact, the longest chord on the circle C. Importantly, revisiting the expression for the derivative [Fx1, y1] ′, we know that the function is not defined when 1 − cos(θ)cos(θ1) − sin(θ)sin(θ1) = 0. SpletA circle is named by its center. Some real world examples of a circle are a wheel, a dinner plate and the surface of a coin. Parts of the circle include: Diameter. The distance across a circle through the center is called the diameter. Radius. The radius of a circle is the distance from the center of a circle to any point on the circle. Chord.

SpletAnswer (1 of 4): The longest chord possible in a circle is called the Diameter. To find the radius, we divide the diameter by two! 20 \div 2 = 10 So that means the radius of this circle is ten centimeters. I hope this helped, and if you have any further questions, feel free to ask.

Splet28. mar. 2024 · If the radius and the central angle of the chord are known, then the formula to find the chord is given below. Length of Chord of Circle. Calculate the length of the chord AB in the given diagram. Solution: As we know, Length (L) of the chord = 2 × rsin (C/2), here r = 26 m, C = 75°. = 2 × 26 × sin (75°/2) cura support pattern easiest to removeSpletThe Longest chord of any circle is its diameter. Therefore, the diameter of a circle is twice the radius of it.Jun 7, 2024 Build bright future aspects. You can build a bright future by setting goals and working towards them. ... easy deadpool drawing for kidsSplet2. how long will be the longest chord in a circle be if the radius is 10cm long Answer: diameter 20 cm. Step-by-step explanation: The longest chord of circle is its diameter So, diameter=2 ×radius = 2×10 = 20cm . Answer: [tex]20cm[/tex] Solution and Explanation: The longest cord in a circle is the length of its diameter. cura support hard to remove