Question

Two sectors have angles 30° and 45° as shown. If the radius of the circle is 1, then what is the difference of the areas of the sectors?
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Answer 1

Answer:

The space enclosed by the sector of a circle is called the area of the sector. For example, a pizza slice is an example of a sector that represents a fraction of a pizza. There are two types of sectors: minor and major sectors. A minor sector is a sector that is less than a semi-circle, whereas, a major sector is a sector greater than a semi-circle.

The figure given below represents the sectors in a circle. The shaded region shows the area of the sector OAPB. Here, ∠AOB is the angle of the sector. It should be noted that the unshaded region is also a sector of the circle. So, the shaded region is the area of the minor sector and the unshaded region is the area of the major sector.

Answer 2

Answer:

4.186cm²

Step-by-step explanation:

Let the radius of circle r=4cm.

Angle θ=30°

Area of sector of circle

=

$\frac{30}{360} \times \pi \times 4 \times 4 \\ \frac{\pi}{12} \times 16 \\ \frac{4}{3} \times 3.14 \\ 4.186cm ^{2}$

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