End of 10.6 and All of 10.7.

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Presentation transcript:

End of 10.6 and All of 10.7

The measure of an arc is in degrees The measure of an arc is in degrees. The arc length is the fraction of the circumference. Arc length is a distance. The arc length is found by determining what fraction of 360 degrees your arc is representing. Then take that fraction and multiply it by the circumference of the circle.

10.7 Areas of a Sector of a Circle

Area of a Circle Sector – a region bounded by an arc of the circle and the two radii to the arc’s endpoints.

To find the area of a sector you find out what portion of the sector is in relation to the whole circle, what fraction the sector is in regards to the entire circle, that fraction is determined by the arc measurement (which remember is the same as the central angle measurement). You then take that fraction and multiply it by the area of the entire circle.

Example.

Segment of a Circle – a part of a circle bounded by an arc and the segment joining the endpoints of the arc. To find the area of the segment, you need to find the area of the sector, and subtract away from it an area of the triangle.

Do all rounding at the end Do all rounding at the end. So leave everything in terms of radicals and pi then transfer it to a decimal.

Find the EXACT area