radii

One arc

","points":1},{"id":"e6d8c996-34b3-432a-81d2-530e8ba6af55","cardType":"basic","front":"Formula for the circumference of a full circle.","back":"$$C = 2\\pi r$","points":1},{"id":"d9fd204f-e9da-40e4-8c8b-7d45b2ef0754","cardType":"basic","front":"Formula for the area of a full circle.","back":"$$A = \\pi r^2$","points":1},{"id":"2954cc66-6d91-4c7b-8b45-53bb065261c7","cardType":"cloze","front":"A sector with central angle $\\theta$ represents the fraction $\\text{[...]}$ of a whole circle.","back":"A sector with central angle $\\theta$ represents the fraction $\\boxed{\\frac{\\theta}{360}}$ of a whole circle.","points":null},{"id":"135e9763-ab40-40e6-a73d-1efe5213496a","cardType":"basic","front":"Formula for the area of a sector.","back":"$$A = \\frac{\\theta}{360} \\times \\pi r^2$","points":1},{"id":"28fbd245-43de-453e-8c33-f97544fb41fc","cardType":"basic","front":"What does arc length represent in a sector?","back":"The length of the curved edge.","points":1},{"id":"2ed35f6a-f534-4a12-88ec-1e2c86473ca9","cardType":"basic","front":"Formula for the arc length ($L$) of a sector.","back":"$$L = \\frac{\\theta}{360} \\times 2\\pi r$","points":1},{"id":"64563df9-0872-4087-a5fd-4ec288b8e5e7","cardType":"basic","front":"What defines a major sector?","back":"A sector where the central angle is greater than 180 degrees.","points":1},{"id":"9bc9a9fe-280c-4d09-946f-1a8b8b18ad6e","cardType":"basic","front":"Which three lengths must be added to find the perimeter of a sector?","back":"

The arc length
Two radii

","points":2},{"id":"90b2620a-36a9-4e5b-8eb3-634e0029f4c6","cardType":"basic","front":"Formula for the perimeter ($P$) of a sector using arc length $L$ and radius $r$.","back":"$$P = L + 2r$","points":1},{"id":"41ba6bc9-e91a-454e-b18d-20bd75d6b118","cardType":"cloze","front":"A semicircle has an area equal to $\\text{[...]}$.","back":"A semicircle has an area equal to $\\boxed{\\frac{1}{2}\\pi r^2}$.","points":null},{"id":"2f372bb8-fefd-46e4-bfbd-9659b70fc5f3","cardType":"basic","front":"Outline the general strategy for finding a shaded region involving two shapes.","back":"

Calculate the area of the larger shape
Calculate the area of the smaller shape
Subtract the smaller area from the larger

","points":2},{"id":"d6d35d71-b5bc-4f52-80b8-dcc3a8021354","cardType":"basic","front":"Shortcut formula for sector area if the arc length ($L$) and radius ($r$) are known.","back":"$$A = \\frac{1}{2}rL$","points":1},{"id":"c33eec3a-6cde-4684-89a3-2be0a6c4caa8","cardType":"cloze","front":"If a question asks for a value \"in terms of $\\pi$\", you must leave the $\\text{[...]}$ symbol in your final answer.","back":"If a question asks for a value \"in terms of $\\pi$\", you must leave the $\\boxed{\\pi}$ symbol in your final answer.","points":null},{"id":"3ec1954a-f718-43ff-95ea-5bbdfc4ee008","cardType":"cloze","front":"If a semicircle is described as having a diameter of 10 cm, the value of $r$ used in formulas is $\\text{[...]}$ cm.","back":"If a semicircle is described as having a diameter of 10 cm, the value of $r$ used in formulas is $\\boxed{5}$ cm.","points":null},{"id":"fe4e187a-6810-4bca-971b-9e000d369bf0","cardType":"basic","front":"Why should you keep the full calculator value for calculations and only round at the final answer?","back":"To prevent rounding errors that could make the final 3 significant figure answer inaccurate.","points":2},{"id":"aa059235-a743-4120-8955-eaf0d190437c","cardType":"basic","front":"How do you calculate the percentage of a rectangle that is shaded?","back":"$$\\frac{\\text{shaded a

Sector Areas and Arc Lengths Flashcards

Sector Areas and Arc Lengths Flashcards

Sector Areas and Arc Lengths Flashcards

Sector Areas and Arc Lengths Flashcards