OAR OAR Math Skills: Geometry 2

Question 1

A circle has a diameter of 14 cm. What is its area? (Use π ≈ 3.14)

Accepted Answer

153.86 cm²

Answer

Radius = 7 cm; Area = π × r² = 3.14 × 49 = 153.86 cm².

Question 2

Two parallel lines are cut by a transversal. If one co-interior (same-side interior) angle is 65°, what is the other co-interior angle?

Accepted Answer

115°

Answer

Co-interior angles are supplementary, so 180° − 65° = 115°.

Question 3

A rectangular prism has length 8 in, width 5 in, and height 3 in. What is its surface area?

Accepted Answer

158 in²

Answer

SA = 2(lw + lh + wh) = 2(40 + 24 + 15) = 2(79) = 158 in².

Question 4

What is the length of the hypotenuse of a right triangle with legs of 9 and 12?

Accepted Answer

15

Answer

c² = 9² + 12² = 81 + 144 = 225, so c = 15 (a 3-4-5 triple scaled by 3).

Question 5

The circumference of a circle is 31.4 m. What is its radius? (Use π ≈ 3.14)

Accepted Answer

5 m

Answer

C = 2πr → r = C ÷ (2π) = 31.4 ÷ 6.28 = 5 m.

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