Chords of a Circle - Examples, Exercises and Solutions

A chord in a circle is a straight line that connects 2 2 any points that are on the circle.
• The chord passes inside the circle and not over it.
• The longest chord in the circle is the diameter
The radius is not a chord.

Chords in the circle

Practice Chords of a Circle

Exercise #1

In which of the circles is the segment drawn the radius?

Video Solution

Answer

Exercise #2

In which of the circles is the point marked in the circle and not on the circumference?

Video Solution

Answer

Exercise #3

Calculate the length of the arc marked in red given that the circumference is 12.

240

Video Solution

Answer

8

Exercise #4

Calculate the length of the arc marked in red given that the circumference is 12.

60°60°60°

Video Solution

Answer

2

Exercise #5

Calculate the length of the arc marked in red given that the circumference is 6.

50

Video Solution

Answer

56 \frac{5}{6}

Exercise #1

Calculate the area of the section painted red given that the area of the circle is 12.

240

Video Solution

Answer

8

Exercise #2

Calculate the length of the arc marked in red given that the circumference is 36.

20

Video Solution

Answer

2

Exercise #3

How many times longer is the radius of the red circle than the radius of the blue circle?

220

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Answer

5

Exercise #4

How many times longer is the radius of the red circle, which has a diameter of 24, than the radius of the blue circle, which has a diameter of 12?

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Answer

2

Exercise #5

How many times longer is the radius of the red circle than the radius of the blue circle?

168

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Answer

2 2

Exercise #1

Calculate the length of the arc marked in red given that the circumference is equal to 24.

150°150°150°

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Answer

10 10

Exercise #2

Calculate the length of the arc marked in red given that the circumference is 18.

260°260°260°

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Answer

13

Exercise #3

How many times longer is the radius of the red circle (14 cm) than the radius of the blue circle, which has a diameter of 7?

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Answer

4

Exercise #4

How many times longer is the radius of the red circle than the radius of the blue circle?

210

Video Solution

Answer

212 2\frac{1}{2}

Exercise #5

Calculate the area of the section shaded in red given that the area of the circle is 36.

20°20°20°

Video Solution

Answer

2 2

Topics learned in later sections

  1. Circle
  2. Distance from a chord to the center of a circle
  3. Central Angle in a Circle
  4. Arcs in a Circle
  5. Perpendicular to a chord from the center of a circle
  6. Inscribed angle in a circle
  7. Tangent to a circle
  8. Area of a circle
  9. The Circumference of a Circle
  10. How is the radius calculated using its circumference?