Download Area and Circumference of Circles WS

Area and Circumference of Circles WS
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1. Find the area of a circular garden if the diameter of the garden is 30 feet.
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2. Find the area of a circle inscribed in a square whose diagonal is 8 feet long.
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Calculate the area and circumference of the following shaded sectors of each circle.
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9. The area of a 60' sector of a circle is 10T1m 2 . Find the radius of the circle.
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10. The area of a sector of a circle with a radius of 5 mm is 10;t mm 2 . Find the measure of its central
angle.
11. If a small pizza costs $6 and it has a diameter of 8 inches. An extra-large pizza has a diameter of 16
inches. How much should it cost?
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12. A certain car's windshield wiper clears a portion of a sector as shown shaded below. If the angle
the wiper pivots during each swing is 120 0 , find the area of the windshield that is wiped during each
swing.
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13. Kennedy and Tess are constructing a racetrack for their horses. The track encloses a field that is
rectangular, with two semicircles at each end. A fence mustErrhis field. How much fencing
will Kennedy and Tess need?
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14 . Use what you know about the area and circumference of circles to answer the questions
below. Show all work. Leave answers in terms of 7r.
a.
If the radius of a circle is 14 units, what is its circumference? What is its area?
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If a circle has diameter 10 units, what is its circumference? What is its area?
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If a circle has circumference 10Ort- units, what is its area?
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If a circle has circumference C, what is its area in terms of C?
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15. A regular hexagon with side length 4 has the same area as a square. What is the length of the side
of the square? Explain how you know.
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1 6. Use what you know about similar fi g ures to complete the followin g tasks.
a.
Find the area and perimeter of the trapezoid below.
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b. Find the area and perimeter of the trapezoid that is similar to this
one. but has been reduced by a linear scale factor of 1/3.
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1 7. Zoe the goat is tied by a rope to one corner of ame er-by-25 meter rectangular barn in the
middle of a large. grassy field. Over what area of the field can Zoe graze if the rope is:
a. 10 meters long?
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b. 20 meters long?
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18. Ru )eus has moved his dog Fluffy to a cornet of his barn because he wants him to have more room
to run. If Fluffy is tethered at point X on the barn with a 20 foot rope, how much area does Fluffy have
to explore?
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