## Which of the following statements is false? a. Every chord is a part of a secant b. Every diameterbis a part of secant c. Every chord is a d

Question

Which of the following statements is false? a. Every chord is a part of a secant b. Every diameterbis a part of secant c. Every chord is a diameter d. Every diameter is a chord

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1. Every chord is a diameter is false. Option (c) is false.n

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Further explanation:n

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Given:n

The statements are as follows,n

(a). Every chord is a part of a secantn

(b). Every diameter is a part of secantn

(c). Every chord is a diametern

(d). Every diameter is a chordn

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Explanation:n

Diameter is a distance between the points that passes through the center of the circle.n

The distance between the two points on the circle is known as the chord. The longest chord is the diameter of the circle.

Radius is line segment to a point from the center of the circle and the radius is half of the diameter.n

Secant is a straight line that intersects two points on the circle.n

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Every chord is a diameter is false. Option (c) is false.n

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Statement (a) is true.n

Statement (b) is true.n

Statement (c) is false.n

Statement (d) is true.n

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Subject: Mathematicsn

Chapter: Trianglesn

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Keywords: false, chord, part, secant, radius, diameter, Every chord is a part of a secant, Every diameter is a part of secant, Every chord is a diameter, Every diameter is a chord.n

2. The wrong statement about a circle is c. Every chord is a diameter

### Further explanation

Circles are two-dimensional builds which are sets of equidistant points at a point called the center point

The distance of these points to the center is called the radius of the circle. While the circle field is an area which is bounded by a circle

There are terms – terms commonly used in circles:

• 1. The center point
• 3. Arc
• 4. Circumference
• 5. Segment
• 6. Chord
• 7. Annulus
• 8. Diameter
• 9. Disc
• 10. Lens
• A diameter is a line that passes through the center of a circle and divides the circle into two equal parts
• A Secant is a plotline that intersects a circle at two points on a circle
• A chord is a line that cuts a circle at 2 points located on the arc

Let we see the answer choices :

• a. Every chord is a part of a secant

Right, because secant itself is an extension of the chord

• b. Every diameter is a part of secant

Right, because the diameter itself also intersects the circle at two points on the circle, just like secant

• c. Every chord is a diameter

Incorrect, because the diameter itself must pass through the center point while the chord does not have to

• d. Every diameter is a chord

Right, because each diameter intersects a circle at two different points

So the wrong statement is C. Every chord is a diameter

circumference

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circle transformations

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the arc length of a segment of a circle

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Keywords: circle, secant, diameter, chord