Geometry Worksheet
GSE Geometry Review Name_____________________________________
Arc Length, Sector Area, Segment Area Date_____________________Period____________
Find the shaded area or the arc length. On problems 1-3, find the arc length for the shaded sector also.
|1. Asector = _____________ |2. Asector = _____________ |3. Asector = _____________ |
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|Arc length = __________ |Arc length = __________ |Arc length = __________ |
|4. Find the length of arc [pic]. |5. The diameter is [pic] cm. Find the length of |6. The length of arc [pic] is [pic] in. Find the |
| |arc [pic]. |length of the radius. |
| | |[pic] |
|7. Find the degree measure of the arc of a sector with area 36π if the area |8. A cake is cut into 8 equal pieces and each piece has an arc length of 6.28|
|of the circle is 144π. |in. Find the diameter. |
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|9. Calculate the sector area. |10. Calculate the sector area. |
|[pic] | |
| |[pic] |
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|11. Find the measure of the central angle of a sector if its area is [pic] |12. A circle has a radius of 12. Find the area of the sector whose central |
|and the radius is 6 |angle is [pic]. |
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|13. The area of a circle is [pic] square inches. Find the area of the |14. The central angle of a sector is [pic] and the area of the circle is |
|sector whose central angle is [pic]. |[pic]. What is the area of the sector? |
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|15. The central angle of a sector is [pic] and the sector has an area of |16. Find the Circumference of a circle given the area of 36π cm2. |
|[pic]. Find the radius. | |
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.
-----------------------
[pic]
120˚
[pic]
90˚
[pic]
60˚
A
B
6 cm
120°
C
D
60°
16 in
8 m
135°
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