Math Math Geometry and Measurement 4

Question 1

A circle has a circumference of 31.4 inches. What is its diameter? (Use π ≈ 3.14)

Accepted Answer

10 inches

Answer

Circumference = π × d, so d = 31.4 ÷ 3.14 = 10 inches.

Question 2

Two angles are supplementary. One angle measures 73°. What is the measure of the other angle?

Accepted Answer

107°

Answer

Supplementary angles sum to 180°, so 180° − 73° = 107°.

Question 3

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

Accepted Answer

158 cm²

Answer

SA = 2(lw + lh + wh) = 2(40 + 24 + 15) = 2(79) = 158 cm².

Question 4

What is the volume of a cylinder with radius 4 cm and height 10 cm? (Use π ≈ 3.14)

Accepted Answer

502.4 cm³

Answer

V = πr²h = 3.14 × 16 × 10 = 502.4 cm³.

Question 5

A square has a diagonal of 10√2 inches. What is the area of the square?

Accepted Answer

100 in²

Answer

The diagonal of a square = s√2, so s = 10 inches and area = 10² = 100 in².

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