umference with $d=12$.","code":"M"},{"id":"p2","marks":1,"description":"Correctly multiplies $12$ by $\\pi$.","code":"A"},{"id":"p3","marks":1,"description":"Final answer of $12\\pi$.","code":"A"}],"finalAnswers":["12\\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":"6ae44c66-84a7-4302-be29-5a629644fa6f","revisionId":"db1e9180-dfb1-42b1-9218-195d8180df5d","questionNumber":"6","questionType":"LA","specification":"","difficulty":2,"difficultyBand":null,"totalMarks":3,"sourceTitle":"Area and Circumference of Circles","calculatorUse":null,"isCalculation":true,"parts":[{"id":"6de58518-4f3a-44eb-983b-98eb188e2324","label":"0","content":"A circle has a radius of 8 cm.\nWork out the area of the circle.\nGive your answer in terms of $\\pi$\n\n![Diagram of a circle with radius 8 cm.](https://assets.mathsgenie.co.uk/question-image-redraws/sol-max-v1/6ae44c66-84a7-4302-be29-5a629644fa6f/image-1-9954d165d023be406239e1bf.svg)","markscheme":"- Applies area formula $A = \\pi r^2$: $\\pi \\times 8^2$ M1\n- Correct calculation: $64$ A1\n- Final answer in terms of $\\pi$: $64\\pi$ A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Uses the correct formula for area with $r=8$.","code":"M"},{"id":"p2","marks":1,"description":"Correctly squares the radius to get $64$.","code":"A"},{"id":"p3","marks":1,"description":"Final answer of $64\\pi$.","code":"A"}],"finalAnswers":["64\\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":"efe16236-c392-4773-8ce5-4f0d3efb87c0","revisionId":"79e6b121-616b-4a50-8ce6-f8badd8e978a","questionNumber":"7","questionType":"LA","specification":"","difficulty":3,"difficultyBand":null,"totalMarks":4,"sourceTitle":"Area and Circumference of Circles","calculatorUse":null,"isCalculation":true,"parts":[{"id":"fd7fbd75-b6a5-40b0-b354-45e6608b3636","label":"0","content":"A semi-circle has an area of $50 \\text{ m}^2$.\n\n![A diagram of a semi-circle with its diameter as a straight horizontal line at the top and the curved part below.](https://assets.mathsgenie.co.uk/question-image-redraws/sol-max-v1/efe16236-c392-4773-8ce5-4f0d3efb87c0/image-1-b7022df6dc89739f5778b02e.svg)\n\nFind the perimeter of the semi-circle.\nGive your answer correct to one decimal place.","markscheme":"- Sets up equation for radius: $\\frac{\\pi r^2}{2} = 50$ M1\n- Solves for $r$: $r = \\sqrt{\\frac{100}{\\pi}} \\approx 5.64$ M1\n- Calculates arc length and diameter: $\\text{arc} = \\pi r \\approx 17.72$ and $d \\approx 11.28$ M1\n- Final answer: $17.72 + 11.28 = 29.0$ A1","marks":4,"order":0,"markingRubric":{"totalMarks":4,"points":[{"id":"p1","marks":1,"description":"Equates $\\frac{\\pi r^2}{2}$ to $50$.","code":"M"},{"id":"p2","marks":1,"description":"Finds the radius $r \\approx 5.64$ or diameter $d \\approx 11.28$.","code":"M"},{"id":"p3","marks":1,"description":"Calculates the curved arc length $\\pi r \\approx 17.7$.","code":"M"},{"id":"p4","marks":1,"description":"Final answer of $29.0$ (cao).","code":"A"}],"finalAnswers":["29.0"],"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-2e24-4b52-9657-2ec35

Area and Circumference of Circles

Question 6

Area and Circumference of Circles Questions

Area and Circumference of Circles

Question 6

Area and Circumference of Circles Questions