rong>$\\pi r^2$","points":1},{"id":"fb644ec8-5d1f-4c7a-934b-d0a6645aafbe","cardType":"basic","front":"For a circle with radius $r$, what is the circumference formula?","back":"$2\\pi r$","points":1},{"id":"b7226cfa-f86c-4490-a664-6b814632cb4e","cardType":"cloze","front":"The diameter of a circle is [ ].","back":"The diameter of a circle is twice the radius.","points":null},{"id":"528946a0-35e9-4646-9402-62aeb942a930","cardType":"cloze","front":"An arc is part of the [ ] of a circle.","back":"An arc is part of the circumference of a circle.","points":null},{"id":"31d36f82-1eb8-4bf8-8598-a9374aae9bbf","cardType":"basic","front":"What fraction of a full circle is a sector with angle $\\theta$?","back":"$\\frac{\\theta}{360}$","points":1},{"id":"b854724c-4013-4da0-9ce6-6f10a471efa8","cardType":"basic","front":"What fraction of a full circle is a $120^\\circ$ sector?","back":"$\\frac{1}{3}$","points":1},{"id":"277e3519-129c-44ac-9f32-bf467702659a","cardType":"cloze","front":"A sector is made from two [ ] and the [ ] between them.","back":"A sector is made from two radii and the arc between them.","points":null},{"id":"4e722a79-32b7-4bd0-b2b0-46b6b41846db","cardType":"cloze","front":"A minor sector is [ ]; a major sector is [ ].","back":"A minor sector is less than half a circle; a major sector is more than half a circle.","points":null},{"id":"6c374aa4-218d-4cf4-879b-6519cd9c1b2c","cardType":"basic","front":"What formula finds the area of a sector with radius $r$ and angle $\\theta$?","back":"$\\frac{\\theta}{360}\\times \\pi r^2$","points":1},{"id":"ba88f99a-508d-483e-aea0-8b17c5a14a7e","cardType":"basic","front":"What is the area of a sector with radius 8 cm and angle $135^\\circ$?","back":"$24\\pi\\text{ cm}^2$","points":2},{"id":"a0b5d631-2fe2-4341-abac-655490724d35","cardType":"basic","front":"What is $24\\pi$ to 3 significant figures?","back":"$75.4$","points":1},{"id":"61b27e48-c51c-4694-80be-92cd1dba7896","cardType":"basic","front":"If a sector angle is $220^\\circ$, what fraction should be used for its area?","back":"$\\frac{220}{360}$","points":1},{"id":"fd893484-8724-4609-9580-6ff1ded9611b","cardType":"cloze","front":"The arc length is the length of the [ ] of a sector.","back":"The arc length is the length of the curved edge of a sector.","points":null},{"id":"ef37fb0a-7588-4bb8-bd3f-19767cec07ab","cardType":"basic","front":"What formula finds arc length for radius $r$ and angle $\\theta$?","back":"$\\frac{\\theta}{360}\\times 2\\pi r$","points":1},{"id":"16a21069-8d22-462a-9f26-c4296ded8814","cardType":"basic","front":"Find the arc length for radius 10 cm and angle $108^\\circ$.","back":"$6\\pi\\text{ cm}$","points":2},{"id":"df16a19a-1fc1-42e3-b98b-08a8da670b3a","cardType":"basic","front":"If an answer is required “in terms of $\\pi$”, what should you do?","back":"Leave $\\pi$ in the answer.","points":1},{"id":"746937d4-3e7d-42d1-910c-cf712d2cafc4","cardType":"basic","front":"What formula finds the perimeter of a sector from its radius and arc length?","back":"$\\text{perimeter}=\\text{arc length}+2r$","points":1},{"id":"d050bfc4-7cd5-449d-95bf-9404b50422eb","cardType":"basic","front":"A sector has radius 4.8 cm and arc length $2\\pi$ cm. What is its perimeter?","back":"$2\\pi+9.6\\text{ cm}$","points":2},{"id":"49327d51-1ace-4776-9295-bd4bb080ee74","cardType":"cloze","front":"For shaded regions, shaded area = [ ].","back":"For shaded regions, shaded area = total area - unshaded area

Sector Areas and Arc Lengths Flashcards

Sector Areas and Arc Lengths Flashcards

Sector Areas and Arc Lengths Flashcards

Sector Areas and Arc Lengths Flashcards