find the area of sector and segment of angle 60 . of circle of radius 10cm Related: Major Minor Sector and Segments?

Question

find the area of sector and segment of angle 60 . of circle of radius 10cm Related:  Major Minor Sector and Segments?

Answer

Area of Sector and Segment of Angle 60

Introduction

Before finding the area of a sector and segment, it is important to understand the terms major sector, minor sector, major segment, minor segment, and sector angle. A sector is a part of a circle enclosed between two radii and an arc. The two radii are the sides of the sector, and the arc is the curved part. The angle formed by the radii is called the sector angle. A segment is a region bounded by a chord and an arc. The chord cuts the circle into two regions, and the segment is the region bounded by the chord and the arc on one side of the chord.

Formula for Area of Sector

The formula for the area of a sector is:

Area of sector = (sector angle/360) x π x r²

where r is the radius of the circle.

Formula for Area of Segment

The formula for the area of a segment is:

Area of segment = (θ/360) x π x r² - (1/2) x r² x sin(θ)

where θ is the sector angle and r is the radius of the circle.

Finding the Area of Sector and Segment of Angle 60

Given the circle has a radius of 10 cm and the sector angle is 60 degrees:

Area of sector = (60/360) x π x 10² = 52.36 cm²

Area of segment = (60/360) x π x 10² - (1/2) x 10² x sin(60) = 25.78 cm²

Conclusion

The area of a sector and segment can be found using the formulas mentioned above. It is important to understand the difference between major and minor sectors and segments in order to use the correct formula. In this case, we were able to find the area of a sector and segment of angle 60 of a circle with a radius of 10 cm.

Answer

Answer

Radius of circle- 10 cm
angle - 60
area of sector = 22/7×10×10×60/360
550/21

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