chapter 10: area

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Chapter 10: Area. Section 10-7: Areas of Circles and Sectors. Objective:. To find the area of circles, sectors, and segments of circles. Vocabulary. Sector of a Circle Segment of a Circle. Theorem 10-11: “Area of a Circle”. - PowerPoint PPT Presentation

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Chapter 10:AreaSection 10-7:

Areas of Circles and Sectors

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Objective:To find the area of circles, sectors, and segments of circles.

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VocabularySector of a CircleSegment of a Circle

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Theorem 10-11:“Area of a Circle”

The area of a circle is the product of pi and the square of the radius.

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Find the Area of the Circle

2

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Find the Area of the Circle

16

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Find the Area of the Circle

5

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http://www.google.com/url?sa=i&rct=j&q=easter+flowers+clipart&source=images&cd=&cad=rja&docid=QB0G045MkU1YzM&tbnid=E0KW_1bq_xwtSM:&ved=0CAUQjRw&url=http://www.mycutegraphics.com/graphics/easter/easter-eggs-hidden-in-grass.html&ei=Z3PDUauWAvSu4AOapYHYDQ&bvm=bv.48175248,d.dmg&psig=AFQjCNHAk0THzj-7XT2O1GFytN2HRfqZWA&ust=1371849945187094

Sector of a CircleA sector of a circle is a region bound by an arc of the circle and two radii to the arc’s endpoints.

http://www.google.com/url?sa=i&rct=j&q=easter+bunny+clipart&source=images&cd=&cad=rja&docid=Svm0dsBjD0YwqM&tbnid=XnzyI_cN1XuPKM:&ved=0CAUQjRw&url=http://www.smcdsb.on.ca/media/clipart_image_gallery/holiday_images/easter_images/&ei=T3HDUcrcA_aq4AP_goH4BQ&bvm=bv.48175248,d.dmg&psig=AFQjCNEWLQC_1GL8h6BLkn5CjDX66HcFHw&ust=1371849396256525
http://www.google.com/url?sa=i&rct=j&q=easter+clipart&source=images&cd=&cad=rja&docid=JFRF534vg1idxM&tbnid=8RPJf2_jsn_k8M:&ved=0CAUQjRw&url=http://kootation.com/easter-chicks-clipart.html&ei=6nLDUcjZFe7i4AOsu4HwBw&bvm=bv.48175248,d.dmg&psig=AFQjCNFEL5A6r615B725jvEFhN1LvHoYiw&ust=1371849693227336
http://www.google.com/url?sa=i&rct=j&q=easter+flowers+clipart&source=images&cd=&cad=rja&docid=QB0G045MkU1YzM&tbnid=E0KW_1bq_xwtSM:&ved=0CAUQjRw&url=http://www.mycutegraphics.com/graphics/easter/easter-eggs-hidden-in-grass.html&ei=Z3PDUauWAvSu4AOapYHYDQ&bvm=bv.48175248,d.dmg&psig=AFQjCNHAk0THzj-7XT2O1GFytN2HRfqZWA&ust=1371849945187094
http://www.google.com/url?sa=i&rct=j&q=easter+flowers+clipart&source=images&cd=&cad=rja&docid=QB0G045MkU1YzM&tbnid=E0KW_1bq_xwtSM:&ved=0CAUQjRw&url=http://www.mycutegraphics.com/graphics/easter/easter-eggs-hidden-in-grass.html&ei=Z3PDUauWAvSu4AOapYHYDQ&bvm=bv.48175248,d.dmg&psig=AFQjCNHAk0THzj-7XT2O1GFytN2HRfqZWA&ust=1371849945187094
http://www.google.com/url?sa=i&rct=j&q=easter+flowers+clipart&source=images&cd=&cad=rja&docid=QB0G045MkU1YzM&tbnid=E0KW_1bq_xwtSM:&ved=0CAUQjRw&url=http://www.mycutegraphics.com/graphics/easter/easter-eggs-hidden-in-grass.html&ei=Z3PDUauWAvSu4AOapYHYDQ&bvm=bv.48175248,d.dmg&psig=AFQjCNHAk0THzj-7XT2O1GFytN2HRfqZWA&ust=1371849945187094
http://www.google.com/url?sa=i&rct=j&q=easter+flowers+clipart&source=images&cd=&cad=rja&docid=QB0G045MkU1YzM&tbnid=E0KW_1bq_xwtSM:&ved=0CAUQjRw&url=http://www.mycutegraphics.com/graphics/easter/easter-eggs-hidden-in-grass.html&ei=Z3PDUauWAvSu4AOapYHYDQ&bvm=bv.48175248,d.dmg&psig=AFQjCNHAk0THzj-7XT2O1GFytN2HRfqZWA&ust=1371849945187094

Theorem 10-12:“Area of a Sector of a Circle”The area of a sector of a circle is the product of the ratio of the measure of the arc and 360 times the area of the circle.

http://www.google.com/url?sa=i&rct=j&q=easter+bunny+clipart&source=images&cd=&cad=rja&docid=Svm0dsBjD0YwqM&tbnid=XnzyI_cN1XuPKM:&ved=0CAUQjRw&url=http://www.smcdsb.on.ca/media/clipart_image_gallery/holiday_images/easter_images/&ei=T3HDUcrcA_aq4AP_goH4BQ&bvm=bv.48175248,d.dmg&psig=AFQjCNEWLQC_1GL8h6BLkn5CjDX66HcFHw&ust=1371849396256525
http://www.google.com/url?sa=i&rct=j&q=easter+clipart&source=images&cd=&cad=rja&docid=JFRF534vg1idxM&tbnid=8RPJf2_jsn_k8M:&ved=0CAUQjRw&url=http://kootation.com/easter-chicks-clipart.html&ei=6nLDUcjZFe7i4AOsu4HwBw&bvm=bv.48175248,d.dmg&psig=AFQjCNFEL5A6r615B725jvEFhN1LvHoYiw&ust=1371849693227336
http://www.google.com/url?sa=i&rct=j&q=easter+flowers+clipart&source=images&cd=&cad=rja&docid=QB0G045MkU1YzM&tbnid=E0KW_1bq_xwtSM:&ved=0CAUQjRw&url=http://www.mycutegraphics.com/graphics/easter/easter-eggs-hidden-in-grass.html&ei=Z3PDUauWAvSu4AOapYHYDQ&bvm=bv.48175248,d.dmg&psig=AFQjCNHAk0THzj-7XT2O1GFytN2HRfqZWA&ust=1371849945187094
http://www.google.com/url?sa=i&rct=j&q=easter+flowers+clipart&source=images&cd=&cad=rja&docid=QB0G045MkU1YzM&tbnid=E0KW_1bq_xwtSM:&ved=0CAUQjRw&url=http://www.mycutegraphics.com/graphics/easter/easter-eggs-hidden-in-grass.html&ei=Z3PDUauWAvSu4AOapYHYDQ&bvm=bv.48175248,d.dmg&psig=AFQjCNHAk0THzj-7XT2O1GFytN2HRfqZWA&ust=1371849945187094
http://www.google.com/url?sa=i&rct=j&q=easter+flowers+clipart&source=images&cd=&cad=rja&docid=QB0G045MkU1YzM&tbnid=E0KW_1bq_xwtSM:&ved=0CAUQjRw&url=http://www.mycutegraphics.com/graphics/easter/easter-eggs-hidden-in-grass.html&ei=Z3PDUauWAvSu4AOapYHYDQ&bvm=bv.48175248,d.dmg&psig=AFQjCNHAk0THzj-7XT2O1GFytN2HRfqZWA&ust=1371849945187094
http://www.google.com/url?sa=i&rct=j&q=easter+flowers+clipart&source=images&cd=&cad=rja&docid=QB0G045MkU1YzM&tbnid=E0KW_1bq_xwtSM:&ved=0CAUQjRw&url=http://www.mycutegraphics.com/graphics/easter/easter-eggs-hidden-in-grass.html&ei=Z3PDUauWAvSu4AOapYHYDQ&bvm=bv.48175248,d.dmg&psig=AFQjCNHAk0THzj-7XT2O1GFytN2HRfqZWA&ust=1371849945187094

Finding the Area of a SectorFind the area of Sector XOY

60° 12

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http://www.google.com/url?sa=i&rct=j&q=easter+clipart&source=images&cd=&cad=rja&docid=JFRF534vg1idxM&tbnid=8RPJf2_jsn_k8M:&ved=0CAUQjRw&url=http://kootation.com/easter-chicks-clipart.html&ei=6nLDUcjZFe7i4AOsu4HwBw&bvm=bv.48175248,d.dmg&psig=AFQjCNFEL5A6r615B725jvEFhN1LvHoYiw&ust=1371849693227336
http://www.google.com/url?sa=i&rct=j&q=easter+flowers+clipart&source=images&cd=&cad=rja&docid=QB0G045MkU1YzM&tbnid=E0KW_1bq_xwtSM:&ved=0CAUQjRw&url=http://www.mycutegraphics.com/graphics/easter/easter-eggs-hidden-in-grass.html&ei=Z3PDUauWAvSu4AOapYHYDQ&bvm=bv.48175248,d.dmg&psig=AFQjCNHAk0THzj-7XT2O1GFytN2HRfqZWA&ust=1371849945187094
http://www.google.com/url?sa=i&rct=j&q=easter+flowers+clipart&source=images&cd=&cad=rja&docid=QB0G045MkU1YzM&tbnid=E0KW_1bq_xwtSM:&ved=0CAUQjRw&url=http://www.mycutegraphics.com/graphics/easter/easter-eggs-hidden-in-grass.html&ei=Z3PDUauWAvSu4AOapYHYDQ&bvm=bv.48175248,d.dmg&psig=AFQjCNHAk0THzj-7XT2O1GFytN2HRfqZWA&ust=1371849945187094
http://www.google.com/url?sa=i&rct=j&q=easter+flowers+clipart&source=images&cd=&cad=rja&docid=QB0G045MkU1YzM&tbnid=E0KW_1bq_xwtSM:&ved=0CAUQjRw&url=http://www.mycutegraphics.com/graphics/easter/easter-eggs-hidden-in-grass.html&ei=Z3PDUauWAvSu4AOapYHYDQ&bvm=bv.48175248,d.dmg&psig=AFQjCNHAk0THzj-7XT2O1GFytN2HRfqZWA&ust=1371849945187094
http://www.google.com/url?sa=i&rct=j&q=easter+flowers+clipart&source=images&cd=&cad=rja&docid=QB0G045MkU1YzM&tbnid=E0KW_1bq_xwtSM:&ved=0CAUQjRw&url=http://www.mycutegraphics.com/graphics/easter/easter-eggs-hidden-in-grass.html&ei=Z3PDUauWAvSu4AOapYHYDQ&bvm=bv.48175248,d.dmg&psig=AFQjCNHAk0THzj-7XT2O1GFytN2HRfqZWA&ust=1371849945187094

Segment of a CircleA part of a circle bound by an arc and the segment joining its endpoints is a segment of a circle.

http://www.google.com/url?sa=i&rct=j&q=easter+bunny+clipart&source=images&cd=&cad=rja&docid=Svm0dsBjD0YwqM&tbnid=XnzyI_cN1XuPKM:&ved=0CAUQjRw&url=http://www.smcdsb.on.ca/media/clipart_image_gallery/holiday_images/easter_images/&ei=T3HDUcrcA_aq4AP_goH4BQ&bvm=bv.48175248,d.dmg&psig=AFQjCNEWLQC_1GL8h6BLkn5CjDX66HcFHw&ust=1371849396256525
http://www.google.com/url?sa=i&rct=j&q=easter+clipart&source=images&cd=&cad=rja&docid=JFRF534vg1idxM&tbnid=8RPJf2_jsn_k8M:&ved=0CAUQjRw&url=http://kootation.com/easter-chicks-clipart.html&ei=6nLDUcjZFe7i4AOsu4HwBw&bvm=bv.48175248,d.dmg&psig=AFQjCNFEL5A6r615B725jvEFhN1LvHoYiw&ust=1371849693227336
http://www.google.com/url?sa=i&rct=j&q=easter+flowers+clipart&source=images&cd=&cad=rja&docid=QB0G045MkU1YzM&tbnid=E0KW_1bq_xwtSM:&ved=0CAUQjRw&url=http://www.mycutegraphics.com/graphics/easter/easter-eggs-hidden-in-grass.html&ei=Z3PDUauWAvSu4AOapYHYDQ&bvm=bv.48175248,d.dmg&psig=AFQjCNHAk0THzj-7XT2O1GFytN2HRfqZWA&ust=1371849945187094
http://www.google.com/url?sa=i&rct=j&q=easter+flowers+clipart&source=images&cd=&cad=rja&docid=QB0G045MkU1YzM&tbnid=E0KW_1bq_xwtSM:&ved=0CAUQjRw&url=http://www.mycutegraphics.com/graphics/easter/easter-eggs-hidden-in-grass.html&ei=Z3PDUauWAvSu4AOapYHYDQ&bvm=bv.48175248,d.dmg&psig=AFQjCNHAk0THzj-7XT2O1GFytN2HRfqZWA&ust=1371849945187094
http://www.google.com/url?sa=i&rct=j&q=easter+flowers+clipart&source=images&cd=&cad=rja&docid=QB0G045MkU1YzM&tbnid=E0KW_1bq_xwtSM:&ved=0CAUQjRw&url=http://www.mycutegraphics.com/graphics/easter/easter-eggs-hidden-in-grass.html&ei=Z3PDUauWAvSu4AOapYHYDQ&bvm=bv.48175248,d.dmg&psig=AFQjCNHAk0THzj-7XT2O1GFytN2HRfqZWA&ust=1371849945187094
http://www.google.com/url?sa=i&rct=j&q=easter+flowers+clipart&source=images&cd=&cad=rja&docid=QB0G045MkU1YzM&tbnid=E0KW_1bq_xwtSM:&ved=0CAUQjRw&url=http://www.mycutegraphics.com/graphics/easter/easter-eggs-hidden-in-grass.html&ei=Z3PDUauWAvSu4AOapYHYDQ&bvm=bv.48175248,d.dmg&psig=AFQjCNHAk0THzj-7XT2O1GFytN2HRfqZWA&ust=1371849945187094

Area of a SegmentTo find the area of a segment we have to find the area of a sector and subtract the area of a triangle. A

B10

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http://www.google.com/url?sa=i&rct=j&q=easter+clipart&source=images&cd=&cad=rja&docid=JFRF534vg1idxM&tbnid=8RPJf2_jsn_k8M:&ved=0CAUQjRw&url=http://kootation.com/easter-chicks-clipart.html&ei=6nLDUcjZFe7i4AOsu4HwBw&bvm=bv.48175248,d.dmg&psig=AFQjCNFEL5A6r615B725jvEFhN1LvHoYiw&ust=1371849693227336
http://www.google.com/url?sa=i&rct=j&q=easter+flowers+clipart&source=images&cd=&cad=rja&docid=QB0G045MkU1YzM&tbnid=E0KW_1bq_xwtSM:&ved=0CAUQjRw&url=http://www.mycutegraphics.com/graphics/easter/easter-eggs-hidden-in-grass.html&ei=Z3PDUauWAvSu4AOapYHYDQ&bvm=bv.48175248,d.dmg&psig=AFQjCNHAk0THzj-7XT2O1GFytN2HRfqZWA&ust=1371849945187094
http://www.google.com/url?sa=i&rct=j&q=easter+flowers+clipart&source=images&cd=&cad=rja&docid=QB0G045MkU1YzM&tbnid=E0KW_1bq_xwtSM:&ved=0CAUQjRw&url=http://www.mycutegraphics.com/graphics/easter/easter-eggs-hidden-in-grass.html&ei=Z3PDUauWAvSu4AOapYHYDQ&bvm=bv.48175248,d.dmg&psig=AFQjCNHAk0THzj-7XT2O1GFytN2HRfqZWA&ust=1371849945187094
http://www.google.com/url?sa=i&rct=j&q=easter+flowers+clipart&source=images&cd=&cad=rja&docid=QB0G045MkU1YzM&tbnid=E0KW_1bq_xwtSM:&ved=0CAUQjRw&url=http://www.mycutegraphics.com/graphics/easter/easter-eggs-hidden-in-grass.html&ei=Z3PDUauWAvSu4AOapYHYDQ&bvm=bv.48175248,d.dmg&psig=AFQjCNHAk0THzj-7XT2O1GFytN2HRfqZWA&ust=1371849945187094
http://www.google.com/url?sa=i&rct=j&q=easter+flowers+clipart&source=images&cd=&cad=rja&docid=QB0G045MkU1YzM&tbnid=E0KW_1bq_xwtSM:&ved=0CAUQjRw&url=http://www.mycutegraphics.com/graphics/easter/easter-eggs-hidden-in-grass.html&ei=Z3PDUauWAvSu4AOapYHYDQ&bvm=bv.48175248,d.dmg&psig=AFQjCNHAk0THzj-7XT2O1GFytN2HRfqZWA&ust=1371849945187094

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