What is the total number of diagonals in a convex hexagon (6-sided polygon)?
Answer and explanation
Correct answer: D. 9
- Step 1: The formula for the number of diagonals in an n-gon is: D = n(n - 3) / 2.
- Step 2: Substitute n = 6: D = 6(6 - 3) / 2 = 6(3) / 2 = 18 / 2 = 9.
Answer
9.
Why not the others: '6' is the number of sides; '12' forgets to divide by 2; '15' calculates C(6, 2) which includes the 6 outer sides.
Practise more Geometry, Trigonometry and Quantitative Problem Solving.
Free questions with an explanation for every one, and full timed Sultan Qaboos University Foundation & Aptitude Test mock tests.
More Geometry, Trigonometry and Quantitative Problem Solving questions
- In a right triangle, the hypotenuse is 13 cm and one leg is 5 cm. What is the length of the other leg and the area of the triangle?
- Two parallel lines are intersected by a transversal. If one interior angle is (3x + 15) degrees and its consecutive interior angle is (2x +…
- A circle has a radius of 6 cm. What is the length of an arc intercepted by a central angle of 60 degrees?
- Find the area of a circular sector with a radius of 10 cm and a central angle of 72 degrees.
- What is the exact value of cos(150 degrees)?
- Given that sin(theta) = 3/5 and theta is in Quadrant II, what is the value of tan(theta)?