area of circles and sectors. area of a circle the area of a circle is π times the square of the...
TRANSCRIPT
![Page 1: AREA OF CIRCLES AND SECTORS. Area of a circle The area of a circle is π times the square of the radius, or A= πr 2](https://reader035.vdocuments.mx/reader035/viewer/2022072015/56649ece5503460f94bdaa8d/html5/thumbnails/1.jpg)
AREA OF CIRCLES AND SECTORS
![Page 2: AREA OF CIRCLES AND SECTORS. Area of a circle The area of a circle is π times the square of the radius, or A= πr 2](https://reader035.vdocuments.mx/reader035/viewer/2022072015/56649ece5503460f94bdaa8d/html5/thumbnails/2.jpg)
Area of a circle
• The area of a circle is π times the square of the radius, or A= πr2
![Page 3: AREA OF CIRCLES AND SECTORS. Area of a circle The area of a circle is π times the square of the radius, or A= πr 2](https://reader035.vdocuments.mx/reader035/viewer/2022072015/56649ece5503460f94bdaa8d/html5/thumbnails/3.jpg)
Examples
• Find the area of a circle with radius 8 inches. A=πr2
=π*82
= π*64 = 201.06 ( approximately)Also, when we have a diameter we need only take
half of the diameter since d=1/2r.
![Page 4: AREA OF CIRCLES AND SECTORS. Area of a circle The area of a circle is π times the square of the radius, or A= πr 2](https://reader035.vdocuments.mx/reader035/viewer/2022072015/56649ece5503460f94bdaa8d/html5/thumbnails/4.jpg)
Area of a Sector
• The ratio of the area A of a sector of a circle to the area of the circle is equal to the ratio of the measure of the intercepted arc to 360 degrees.
![Page 5: AREA OF CIRCLES AND SECTORS. Area of a circle The area of a circle is π times the square of the radius, or A= πr 2](https://reader035.vdocuments.mx/reader035/viewer/2022072015/56649ece5503460f94bdaa8d/html5/thumbnails/5.jpg)
Examples
• Find the area of the sector such the sector cpd intercepts an arc whose measure is 80 degees. The radius is 4 ft.
**Work on your own for 2 minutes***
![Page 6: AREA OF CIRCLES AND SECTORS. Area of a circle The area of a circle is π times the square of the radius, or A= πr 2](https://reader035.vdocuments.mx/reader035/viewer/2022072015/56649ece5503460f94bdaa8d/html5/thumbnails/6.jpg)
Using Areas of Circles and Regions
• To determine the area of a shaded region inside a circle, you will need to follow this formula:
• Area of Shaded Region=Area of a circle-Area of non-shaded region.
![Page 7: AREA OF CIRCLES AND SECTORS. Area of a circle The area of a circle is π times the square of the radius, or A= πr 2](https://reader035.vdocuments.mx/reader035/viewer/2022072015/56649ece5503460f94bdaa8d/html5/thumbnails/7.jpg)
Homework:
• Complete the handout and bring it back before next class for credit.