The Parts of a Circle - Examples, Exercises and Solutions

The perpendicular to the chord comes out of the center of the circle, intersecting the chord, the central angle in front of the chord and the arc in front of the chord.
Moreover, if there is a section that comes out from the center of the circle and crosses the chord, it will also be perpendicular to the chord.

We are here to present the properties of the perpendicular from the center of the circle to the chord.
First, we will remember that the perpendicular is a line that forms a 90° 90° degree angle.
Let's see it in the illustration:

A1 - Perpendicular to the chord from the center of the circle

In front of us, there is a circle.
We will mark the center of the circle with a letter AA
Our chord will be blue and will be called BCBC.
The vertical, which comes out from the center of the circle and will be perpendicular to the chord BCBC.
We will mark it in red and call it ADAD.

Practice The Parts of a Circle

Exercise #1

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

Video Solution

Answer

Exercise #2

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

Video Solution

Answer

Exercise #3

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

220

Video Solution

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?

Video Solution

Answer

2

Exercise #5

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

168

Video Solution

Answer

2 2

Exercise #1

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

50

Video Solution

Answer

56 \frac{5}{6}

Exercise #2

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

20

Video Solution

Answer

2

Exercise #3

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

60°60°60°

Video Solution

Answer

2

Exercise #4

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

240

Video Solution

Answer

8

Exercise #5

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

150°150°150°

Video Solution

Answer

10 10

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

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 #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?

Video Solution

Answer

4

Exercise #4

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

260°260°260°

Video Solution

Answer

13

Exercise #5

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

50°50°50°

Video Solution

Answer

56 \frac{5}{6}

Topics learned in later sections

  1. Circle
  2. Distance from a chord to the center of a circle
  3. Chords of a Circle
  4. Central Angle in a Circle
  5. Arcs in 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?