📐 Geometry and Mensuration – Concepts & Quiz

🔷 What is Geometry?

Geometry is the study of shapes, sizes, and the properties of space. It explores points, lines, angles, surfaces, and solids. Used in architecture, art, navigation, and more, geometry helps us understand spatial relationships.

🔶 Key Geometric Shapes

• Triangle – 3 sides and 3 angles
• Quadrilateral – 4 sides (e.g., square, rectangle)
• Circle – Set of points equidistant from a center

📏 What is Mensuration?

Mensuration deals with the measurement of area, perimeter, surface area, and volume of geometric figures. It helps us calculate space, length, and capacity in real-life situations.

🔢 Important Formulas

• Area of Circle = πr²
• Perimeter of Rectangle = 2(l + b)
• Volume of Cube = a³
• Surface Area of Cuboid = 2(lb + bh + hl)

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🧠 Quiz: Geometry and Mensuration (10 Questions)

const explanations = { q1: "180° is the sum of interior angles in any triangle.", q2: "πr² = 22/7×7×7 = 154 cm²", q3: "Perimeter = 4 × side = 4×6 = 24 cm", q4: "Volume = a³ = 5×5×5 = 125 cm³", q5: "Area = l×b = 8×3 = 24 cm²", q6: "A circle has no vertex, only a curved line.", q7: "Cuboid has 6 faces (top, bottom, front, back, left, right)", q8: "Diameter = 2 × radius", q9: "Isosceles triangle has two equal sides", q10: "Surface area = 6a² = 6×4×4 = 96 cm²" };

function checkAnswers() { let score = 0; for (let i = 1; i <= 10; i++) { const q = document.querySelector(`input[name="q${i}"]:checked`); const explanationDiv = document.getElementById("e" + i); if (q) { if (q.value === answers["q" + i]) { score++; explanationDiv.innerHTML = `Correct! ✅ ${explanations["q" + i]}`; } else { explanationDiv.innerHTML = `Wrong! ❌ ${explanations["q" + i]}`; } } else { explanationDiv.innerHTML = `No answer selected. ❌ ${explanations["q" + i]}`; } } document.getElementById("score").innerHTML = `🎯 Your Score: ${score} / 10`; }