Arc Lengths and Sectors Worksheet
Calculate arc lengths and areas of sectors in circles, applying formulas and understanding their relationship to the central angle and radius.
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Arc Lengths and Sectors
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Read each question carefully and solve for the arc length or sector area. Show all your work.
1. Find the length of the arc of a circle with a radius of 10 cm and a central angle of 60 degrees. (Use π = 3.14)
2. Calculate the area of a sector with a radius of 8 inches and a central angle of 45 degrees. (Use π = 3.14)
3. The formula for the arc length (L) of a circle is L = (θ/360°) * .
4. The formula for the area of a sector (A) of a circle is A = (θ/360°) * .
5. Doubling the radius of a circle will double its arc length, assuming the central angle remains constant.
True
False
6. A circular garden has a radius of 15 feet. A section of the garden is to be planted with roses, covering a central angle of 120 degrees. What is the area of the rose section? (Use π = 3.14)