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11.2 Vocabulary Population Density Sector of a Circle.

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1 11.2 Vocabulary Population Density Sector of a Circle

2 You can use the circumference of a circle to find its area
You can use the circumference of a circle to find its area. Divide the circle and rearrange the pieces to make a shape that resembles a parallelogram. The base of the parallelogram is about half the circumference, or r, and the height is close to the radius r. So A   r · r =  r2. The more pieces you divide the circle into, the more accurate the estimate will be.

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6 Similar to arc length, the area of a sector is a fractional part of the circle area.

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9 A segment of a circle is a region bounded by an arc and its chord.

10 In a 30°-60°-90° triangle, the length of the leg opposite the 60° angle is √3 times the length of the shorter leg. x, x√3, 2x In a 45°-45°-90° triangle, the length of the leg opposite the 90° angle is √2 times the length of the shorter legs. x, x, x√2 Remember!

11 Example 5A: Finding the Area of a Segment
Find the area of segment LNM to the nearest hundredth.

12 Example 5B Find the area of segment RST to the nearest hundredth.


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