Geometry questions
Area and perimeter problems for common shapes, with step-by-step answers.
Covers geometry problems on area and perimeter for triangles, circles, and rectangles, including the Pythagorean theorem for right-triangle sides.
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Sample Geometry questions
1. Find the perimeter of a rectangle with width 16 and height 7.+
Answer: 46
Step 1: Perimeter = 2 × (width + height). Step 2: 2 × (16 + 7) = 2 × 23 = 46.
2. Find the area of a rectangle with width 2 and height 9.+
Answer: 18
Step 1: Area = width × height. Step 2: 2 × 9 = 18.
3. Find the volume of a cylinder with radius 7 and height 10. Use π ≈ 3.14.+
Answer: 1539.38
Step 1: Volume = π × r^2 × height. Step 2: 3.14 × 7^2 × 10 = 3.14 × 49 × 10 = 1539.38.
4. Find the area of a circle with radius 13. Use π ≈ 3.14.+
Answer: 530.93
Step 1: Area = π × r^2. Step 2: 3.14 × 13^2 = 3.14 × 169 = 530.93.
5. Find the area of a circle with radius 5. Use π ≈ 3.14.+
Answer: 78.54
Step 1: Area = π × r^2. Step 2: 3.14 × 5^2 = 3.14 × 25 = 78.54.
6. Find the volume of a cylinder with radius 9 and height 14. Use π ≈ 3.14.+
Answer: 3562.57
Step 1: Volume = π × r^2 × height. Step 2: 3.14 × 9^2 × 14 = 3.14 × 81 × 14 = 3562.57.