Circles

{"QuestionId":34803,"QuestionText":"The radius of a circle is 4 feet. What is the length of the arc if the central angle is 100 $$^{\\circ}$$ ?\r\n\r\n","QuestionFormatJson":null,"CorrectAnswerFormat":null,"AnswerFormatType":null,"AnswerForamtJson":"{\"Type\":\"MultiChoice\",\"SubType\":\"RadioButton\",\"CorrectAnswerFormat\":null,\"AnswerDisplayFormat\":[\"\"],\"AnswerType\":null}","FormatType":null,"OpExpression":null,"Operator":null,"Operand1":null,"Operand2":null,"selectedAnswer":null,"IsInactive":false,"isSelected":null,"CorrectAnswer":"6.98 feet","timeInMilliSeconds":null,"QuestionType":null,"VariableList":null,"WorksheetQuestionText":null,"AnswerOption":{"Opt1":"4.58 feet","Opt2":"6.98 feet","Opt3":"9.18 feet","Opt4":"11.28 feet","QuestionId":34803},"QuestionDetail":{"QuestionDetailId":0,"QuestionId":34803,"SubTopicId":4151,"SubTopic":{"SubTopicId":4151,"SubTopicDesc":"Arc length","Hint":"Use π =3.14.","SubTopicDescSEO":null,"IsSEOUrlActive":true,"IsInactive":false,"IsCombinedSubTopic":null,"CombineSubTopicIdList":null,"TopicTopicId":"TGeoC","TopicTopicDesc":"Circles","IsToolbar":false,"DisplayFormat":"{\"bgColor\":\"white\",\"IsQAtogether\":null,\"IsImage\":null,\"IsGraph\":null,\"IsTable\":null,\"ToolbarType\":{\"type\":null,\"ToolbarList\":[\"\"]}}","QuestionTextFormat":null,"WorksheetText":null,"IsSignInRequired":false,"IsPaidRequired":false,"DisplayFormatJson":{"bgColor":"white","IsQAtogether":null,"IsImage":null,"IsGraph":null,"IsTable":null,"ToolbarType":{"type":null}},"MilliSeconds":0},"TopicDesc":null,"QuestionDiffLevel":null},"ImageData":"{ \"type\": \"radiansArcLength\", \"text\": \"100&deg\", \"angle\": 100, \"r\": 120,\"textR\":\"4\", \"arc\": \"?\",\"cPoint\":\"O\",\"point1\":\"A\",\"point2\":\"B\",\"point3\":\"\", \"arc\": \"\", \"color\": \"red\", \"top\": 5, \"left\": 10, \"shade\": false}\r\n","GraphData":null,"TableData":null,"AnswerFormatJsonDto":{"Type":"MultiChoice","SubType":"RadioButton","CorrectAnswerFormat":null,"AnswerDisplayFormat":[""],"AnswerType":null},"AssignWorksheetId":null,"MilliSeconds":0}

{"QuestionId":34853,"QuestionText":"The radius of a circle is 15 cm and its minor arc length is 22 cm. Which of the following is the measure of the minor arc?","QuestionFormatJson":null,"CorrectAnswerFormat":null,"AnswerFormatType":null,"AnswerForamtJson":"{\"Type\":\"MultiChoice\",\"SubType\":\"RadioButton\",\"CorrectAnswerFormat\":null,\"AnswerDisplayFormat\":[\"\"],\"AnswerType\":null}","FormatType":null,"OpExpression":null,"Operator":null,"Operand1":null,"Operand2":null,"selectedAnswer":null,"IsInactive":false,"isSelected":null,"CorrectAnswer":"84^{\\circ}","timeInMilliSeconds":null,"QuestionType":null,"VariableList":null,"WorksheetQuestionText":null,"AnswerOption":{"Opt1":"84^{\\circ}","Opt2":"89^{\\circ}","Opt3":"74^{\\circ}","Opt4":"79^{\\circ}","QuestionId":34853},"QuestionDetail":{"QuestionDetailId":0,"QuestionId":34853,"SubTopicId":4152,"SubTopic":{"SubTopicId":4152,"SubTopicDesc":"Arc measure","Hint":"Use π =3.14.","SubTopicDescSEO":null,"IsSEOUrlActive":true,"IsInactive":false,"IsCombinedSubTopic":null,"CombineSubTopicIdList":null,"TopicTopicId":"TGeoC","TopicTopicDesc":"Circles","IsToolbar":false,"DisplayFormat":"{\"bgColor\":\"white\",\"IsQAtogether\":null,\"IsImage\":null,\"IsGraph\":null,\"IsTable\":null,\"ToolbarType\":{\"type\":null,\"ToolbarList\":[\"\"]}}","QuestionTextFormat":null,"WorksheetText":null,"IsSignInRequired":false,"IsPaidRequired":false,"DisplayFormatJson":{"bgColor":"white","IsQAtogether":null,"IsImage":null,"IsGraph":null,"IsTable":null,"ToolbarType":{"type":null}},"MilliSeconds":0},"TopicDesc":null,"QuestionDiffLevel":null},"ImageData":"{ \"type\": \"radiansArcLength\", \"text\": \"\", \"angle\": 84, \"r\": 100,\"textR\":\"15\", \"arc\": \"22\",\"cPoint\":\"O\",\"point1\":\"A\",\"point2\":\"B\",\"point3\":\"C\",\"rotateAngle\":45, \"color\": \"red\", \"top\": -25, \"left\": 135, \"shade\": true}","GraphData":null,"TableData":null,"AnswerFormatJsonDto":{"Type":"MultiChoice","SubType":"RadioButton","CorrectAnswerFormat":null,"AnswerDisplayFormat":[""],"AnswerType":null},"AssignWorksheetId":null,"MilliSeconds":0}

{"QuestionId":34903,"QuestionText":"The radius of a sector of a circle is 10 inches. Its angle is 120°. Calculate the perimeter of the sector.","QuestionFormatJson":null,"CorrectAnswerFormat":null,"AnswerFormatType":null,"AnswerForamtJson":"{\"Type\":\"MultiChoice\",\"SubType\":\"RadioButton\",\"CorrectAnswerFormat\":null,\"AnswerDisplayFormat\":[\"\"],\"AnswerType\":null}","FormatType":null,"OpExpression":null,"Operator":null,"Operand1":null,"Operand2":null,"selectedAnswer":null,"IsInactive":false,"isSelected":null,"CorrectAnswer":"20+\\frac{20\\pi }{3} inches","timeInMilliSeconds":null,"QuestionType":null,"VariableList":null,"WorksheetQuestionText":null,"AnswerOption":{"Opt1":"10+\\frac{20\\pi }{3} inches","Opt2":"20+\\frac{20\\pi }{3} inches","Opt3":"10+\\frac{\\pi }{3} inches","Opt4":"20+\\frac{\\pi }{3} inches","QuestionId":34903},"QuestionDetail":{"QuestionDetailId":0,"QuestionId":34903,"SubTopicId":4154,"SubTopic":{"SubTopicId":4154,"SubTopicDesc":"Sector ","Hint":"Use π =3.14 and round your answer to the nearest hundred.","SubTopicDescSEO":null,"IsSEOUrlActive":true,"IsInactive":false,"IsCombinedSubTopic":null,"CombineSubTopicIdList":null,"TopicTopicId":"TGeoC","TopicTopicDesc":"Circles","IsToolbar":false,"DisplayFormat":"{\"bgColor\":\"white\",\"IsQAtogether\":null,\"IsImage\":null,\"IsGraph\":null,\"IsTable\":null,\"ToolbarType\":{\"type\":null,\"ToolbarList\":[\"\"]}}","QuestionTextFormat":null,"WorksheetText":null,"IsSignInRequired":false,"IsPaidRequired":false,"DisplayFormatJson":{"bgColor":"white","IsQAtogether":null,"IsImage":null,"IsGraph":null,"IsTable":null,"ToolbarType":{"type":null}},"MilliSeconds":0},"TopicDesc":null,"QuestionDiffLevel":null},"ImageData":"{ \"type\": \"radiansArcLength\", \"text\": \"120°\", \"angle\": 120, \"r\": 100,\"textR\":\"10\", \"arc\": \"\", \"color\": \"white\", \"top\": 5, \"left\": 10, \"shade\": false}","GraphData":null,"TableData":null,"AnswerFormatJsonDto":{"Type":"MultiChoice","SubType":"RadioButton","CorrectAnswerFormat":null,"AnswerDisplayFormat":[""],"AnswerType":null},"AssignWorksheetId":null,"MilliSeconds":0}

{"QuestionId":34953,"QuestionText":"?ABC is inscribed in a circle. If m?B = 20° and m?C = 90°, what is the measure of m?BAC? ","QuestionFormatJson":null,"CorrectAnswerFormat":null,"AnswerFormatType":null,"AnswerForamtJson":"{\"Type\":null,\"SubType\":null,\"CorrectAnswerFormat\":null,\"AnswerDisplayFormat\":[\"°\"],\"AnswerType\":null}","FormatType":null,"OpExpression":null,"Operator":null,"Operand1":null,"Operand2":null,"selectedAnswer":null,"IsInactive":false,"isSelected":null,"CorrectAnswer":"70","timeInMilliSeconds":null,"QuestionType":null,"VariableList":null,"WorksheetQuestionText":null,"AnswerOption":{"Opt1":null,"Opt2":null,"Opt3":null,"Opt4":null,"QuestionId":34953},"QuestionDetail":{"QuestionDetailId":0,"QuestionId":34953,"SubTopicId":4155,"SubTopic":{"SubTopicId":4155,"SubTopicDesc":"Inscribed angles","Hint":null,"SubTopicDescSEO":null,"IsSEOUrlActive":true,"IsInactive":false,"IsCombinedSubTopic":null,"CombineSubTopicIdList":null,"TopicTopicId":"TGeoC","TopicTopicDesc":"Circles","IsToolbar":false,"DisplayFormat":"{\"bgColor\":\"white\",\"IsQAtogether\":null,\"IsImage\":null,\"IsGraph\":null,\"IsTable\":null,\"ToolbarType\":{\"type\":null,\"ToolbarList\":[\"\"]}}","QuestionTextFormat":null,"WorksheetText":null,"IsSignInRequired":false,"IsPaidRequired":false,"DisplayFormatJson":{"bgColor":"white","IsQAtogether":null,"IsImage":null,"IsGraph":null,"IsTable":null,"ToolbarType":{"type":null}},"MilliSeconds":0},"TopicDesc":null,"QuestionDiffLevel":null},"ImageData":"{ \"type\": \"inscribedAngle\", \"text\": null, \"angle\": 180, \"r\": 100,\"textR\":\"\", \"arc2\": \"\", \"cPoint\":\"O\",\"point1\":\"A\",\"point2\":\"B\",\"point3\":\"C\",\"angleA\":\"?\",\"angleB\":\"20°\",\"angleC\":\"90°\",\"rotateAngle\":45,\"x\":50, \"color\": \"red\", \"top\": 5, \"left\": 130, \"shade\": true}\r\n","GraphData":null,"TableData":null,"AnswerFormatJsonDto":{"Type":null,"SubType":null,"CorrectAnswerFormat":null,"AnswerDisplayFormat":["°"],"AnswerType":null},"AssignWorksheetId":null,"MilliSeconds":0}

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