AFCT Mathematics Knowledge 2

Question 1

What is the area of a circle with a radius of 7?

Accepted Answer

49π

Answer

The area of a circle is A = πr², so π × 7² = 49π.

Question 2

What is the measure of each interior angle of a regular hexagon?

Accepted Answer

120°

Answer

The interior angle of a regular polygon = (n - 2) × 180° / n = (6 - 2) × 180° / 6 = 120°.

Question 3

A right triangle has legs measuring 5 and 12. What is the length of the hypotenuse?

Accepted Answer

13

Answer

Using the Pythagorean theorem: √(5² + 12²) = √(25 + 144) = √169 = 13.

Question 4

What is the volume of a rectangular box with dimensions 4 × 6 × 3?

Accepted Answer

72

Answer

Volume = length × width × height = 4 × 6 × 3 = 72 cubic units.

Question 5

Two angles are supplementary. One angle measures 65°. What is the measure of the other angle?

Accepted Answer

115°

Answer

Supplementary angles sum to 180°, so 180° - 65° = 115°.

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