The Parts of a Circle - Examples, Exercises and Solutions

An inscribed angle in a circle is an angle whose vertex is on the top of the circle (on the circumference of the circle) and whose ends are chords in a circle.

Angle inscribed in a circle

Practice The Parts 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

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 equal to 24.

150°150°150°

Video Solution

Answer

10 10

Exercise #2

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

260°260°260°

Video Solution

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?

Video Solution

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. Chords of a Circle
  4. Central Angle in a Circle
  5. Arcs in a Circle
  6. Perpendicular to a chord from the center of 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?