Question

a large pizza has a diameter of 14 in. it is cut into 10 slices.

find the measure of the central angle for one slice of pizza.

\\(\frac{360^{\circ}}{10} = \\) \\(^{\circ}\\)

which proportion is used to find the length of each piece of crust?

\\(\bigcirc \frac{36^{\circ}}{360^{\circ}} = \frac{s}{14^2 \pi}\\)

\\(\bigcirc \frac{36^{\circ}}{360^{\circ}} = \frac{s}{7^2 \pi}\\)

\\(\bigcirc \frac{36^{\circ}}{360^{\circ}} = \frac{s}{7 \pi}\\)

\\(\bigcirc \frac{36^{\circ}}{360^{\circ}} = \frac{s}{14 \pi}\\)

what is the length of each piece of crust? write your answer using \pi\ with no spaces.

\\(\text{length} = s = \\) in

Explanation:

Calculate the central angle of one slice

$$ \frac{360^{\circ}}{10} = 36^{\circ} $$

Determine the correct proportion for the crust length

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Calculate the length of each piece of crust

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Answer:

Question 1

The measure of the central angle for one slice of pizza is:
<blank>36</blank>\(^{\circ}\)

Question 2

The proportion used to find the length of each piece of crust is:

• (A) \(\frac{36^{\circ}}{360^{\circ}} = \frac{s}{14^2\pi}\)
• (B) \(\frac{36^{\circ}}{360^{\circ}} = \frac{s}{7^2\pi}\)
• (C) \(\frac{36^{\circ}}{360^{\circ}} = \frac{s}{7\pi}\)
• (D) \(\frac{36^{\circ}}{360^{\circ}} = \frac{s}{14\pi}\) (Correct answer)

Question 3

The length of each piece of crust is:
Length \(= s =\) <blank>\(1.4\text{pi}\)</blank> in