Examples with solutions for Area of a Circle: Calculating parts of the circle

Exercise #1

A pizza has a diameter of 45 cm. It is cut into eight slices. What is the area of each slice?

Video Solution

Answer

198.7 cm².

Exercise #2

Pacman's radius 6 cm.

The angle of Pacman's mouth is 45 degrees.

What is Pacman's area?

45°45°45°666

Video Solution

Answer

31.5π 31.5\pi cm²

Exercise #3

The diameter of the circle is 11 cm.

What is the area of the entire circle?

151515303030111111

Video Solution

Answer

83.11 cm².

Exercise #4

Below is a circle with a segment that has an area of 4π 4\pi cm².

The radius of the circle is 5 cm.

What is the size of the angle subtended by the segment?

555

Video Solution

Answer

57.6

Exercise #5

In a circle, a section is created by an angle whose size is X degrees.

The diameter of the circle is 9 cm

Express the area of the section by means of X

XXX999

Video Solution

Answer

9x160π \frac{9x}{160}\pi cm².

Exercise #6

In a circle, a section is created by an angle whose size is 120 degrees.

The diameter of the circle is 7 cm

What is the area of the section?

120120120777

Video Solution

Answer

4912π \frac{49}{12}\pi cm².