Practice Problems on Areas of Sector and Segment of a Circle
Q1: Find the area of the sector given that radius of circle is 15 cm and angle subtended by sector is 60°.
Q2: Determine the area of segment given the radius of the circle is 27 cm and angle subtended by segment is π/3 radians.
Q3: Find the area of the major segment if the area of minor segment is 10 cm2 and area of circle is 30 cm2.
Q4: Determine the area of the minor sector if the area of major sector is 70 cm2 and area of circle is 120 cm2.
Areas of Sector and Segment of a Circle
Areas of sector and segment of a circle with radius r and subtends an angle θ (in radians) are given by (1/2)×θr2 and (1/2)×r2(θ -sinθ) respectively. The area of the sector and the area of the segment of the circle are easily calculated using the above formula.
In this article, we will explore the areas of sector and segment in detail and also learn the basics of sector and segment of a circle.
Table of Content
- What is Sector and Segment of a Circle?
- Areas of Sector and Segment of a Circle
- Examples on Areas of Sector and Segment of a Circle
- Practice Problems on Areas of Sector and Segment of a Circle
- FAQs on Areas of Segment and Sector of a Circle
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