3.6","20.25\\pi"],"generatedAt":"2026-05-06T15:42:53.139Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null},{"id":"28d58f31-44c1-4769-a38d-c91f828c80d7","revisionId":"f6e0a57c-75d5-45e1-9ccf-50685025aef0","questionNumber":"11","questionType":"LA","specification":"","difficulty":3,"difficultyBand":null,"totalMarks":3,"sourceTitle":"Area and Circumference of Circles","calculatorUse":null,"isCalculation":true,"parts":[{"id":"96b38d3b-e67f-42cc-ade8-40d3b7be7212","label":"0","content":"The diagram shows three quarters of a circle with a radius of 12 metres.\n\nFind the perimeter of the shape.\n\n![A shaded sector representing three-quarters of a circle.](https://assets.mathsgenie.co.uk/question-image-redraws/sol-max-v1/28d58f31-44c1-4769-a38d-c91f828c80d7/image-1-067fde809db543b4ad735091.svg)","markscheme":"- Calculates arc length: $\\frac{3}{4} \\times 2 \\times \\pi \\times 12 = 18\\pi \\approx 56.55$ M1\n- Adds two radii: $56.55 + 12 + 12$ M1\n- Final answer: $80.55$ A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Calculates the arc length as $18\\pi$ or $\\approx 56.5$.","code":"M"},{"id":"p2","marks":1,"description":"Adds $24$ (two radii) to their arc length.","code":"M"},{"id":"p3","marks":1,"description":"Final answer of $80.55$.","code":"A"}],"finalAnswers":["80.55"],"generatedAt":"2026-05-06T15:42:53.139Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null},{"id":"9f9ce6e6-b3a8-4ae8-bce5-a06f46c9c2a5","revisionId":"8add7642-4689-4dc5-a6ae-8146610495b7","questionNumber":"12","questionType":"LA","specification":"","difficulty":4,"difficultyBand":null,"totalMarks":3,"sourceTitle":"Area and Circumference of Circles","calculatorUse":null,"isCalculation":true,"parts":[{"id":"e25fff09-a739-4435-af6e-57625aff7b14","label":"0","content":"The diagram shows a semi circle inside a sector of a circle, $ABC$.\n\n$AB$ is the diameter of the semi circle.\n\nAngle $BAC = 90^\\circ$\n\n$AB = 12$ cm\n\nFind the area of the shaded region.\n\n![Diagram for question 12: A sector ABC of a circle with center A.](https://assets.mathsgenie.co.uk/question-image-redraws/sol-max-v1/9f9ce6e6-b3a8-4ae8-bce5-a06f46c9c2a5/image-1-7f0328c8fa772b61619ea25b.svg)","markscheme":"- Calculates area of quarter circle (sector): $\\frac{\\pi \\times 12^2}{4} = 36\\pi$ M1\n- Calculates area of semi-circle: $\\frac{\\pi \\times 6^2}{2} = 18\\pi$ M1\n- Subtracts areas: $36\\pi - 18\\pi = 18\\pi \\approx 56.5$ A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Calculates the area of the quarter circle ($36\\pi$).","code":"M"},{"id":"p2","marks":1,"description":"Calculates the area of the semi-circle ($18\\pi$).","code":"M"},{"id":"p3","marks":1,"description":"Final answer of $18\\pi$ or $56.5$.","code":"A"}],"finalAnswers":["56.5","18\\pi"],"generatedAt":"2026-05-06T15:42:53.139Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null}],"subjectCode":"igcse_maths__cie","summaries":[{"id":"d7f87c43-33e9-4d99-a15d-afdc306bec01","difficultyBand":null,"calculatorUse":null,"totalMarks":2},{"id":"7ab916d5-9044-4a4a-8001-652400176fa3","difficultyBand":null,"calculatorUse":null,"totalMarks":2},{"id":"06f47189-e390-4e3b-8f73-178385fc4c92","difficultyBand":null,"calculatorUse":null,"totalMarks":3},{"id":"9625d54b-2e24-4b52-9657-2ec35148cdbc","difficultyBand":null,"calculatorUse":null,"totalMarks":3},{"id":"98e39806-5d87-4a21-a41e-807d1dfff5e8","difficultyBand":null,"calculatorUse":null,"totalMarks":3},{"id":"6ae44c66-84a7-4302-be29-5a629644fa6f","difficultyBand":null,"calculatorUse":null,"totalMarks":3},{"id":"

Area and Circumference of Circles

Question 11

Area and Circumference of Circles Questions

Area and Circumference of Circles

Question 11

Area and Circumference of Circles Questions