Hard Geometry Quiz: Test Your Mastery
Dive into a set of nine challenging geometry questions that probe deep understanding of shapes, theorems, and spatial calculations.
Quiz Questions
Answer all questions below and test your knowledge.
- 1
What is the surface area of a sphere with radius 3?
- 2
How many diagonals does a decagon have?
- 3
What is the sum of interior angles of a regular octagon?
- 4
A circle has radius 7. What is the exact length of a chord that subtends a central angle of 60°?
- 5
Given a triangle with side lengths 13, 14, and 15, what is its area?
- 6
What is the volume of a regular tetrahedron with edge length 6?
- 7
A square has side length 10. What is the radius of the inscribed circle?
- 8
What is the angle between two diagonals that meet at a vertex of a regular pentagon?
- 9
If a line of intersection forms a 30° angle with each of two intersecting planes, what is the dihedral angle between the planes?
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