# 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.

## Practice The Parts of a Circle

### Exercise #1

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

### Exercise #2

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

### Exercise #3

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

8

### Exercise #4

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

2

### Exercise #5

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

### Video Solution

$\frac{5}{6}$

### Exercise #1

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

8

### Exercise #2

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

2

### Exercise #3

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

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?

2

### Exercise #5

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

### Video Solution

$2$

### Exercise #1

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

### Video Solution

$10$

### Exercise #2

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

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?

4

### Exercise #4

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

### Video Solution

$2\frac{1}{2}$

### Exercise #5

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

### Video Solution

$2$