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Olegator [25]
2 years ago
12

A sector with an area of \goldE{48\pi,\text{cm}^2}48πcm 2 start color #a75a05, 48, pi, start text, c, m, end text, squared, end

color #a75a05 has a radius of \maroonD{16,\text{cm}}16cmstart color #ca337c, 16, start text, c, m, end text, end color #ca337c. What is the central angle measure of the sector in radians? Choose 1 answer: Choose 1 answer:
Mathematics
1 answer:
erik [133]2 years ago
7 0

Answer:

3/8 π radians

Step-by-step explanation:

The Area of a sector when then central angle is in radians = 1/2r² θ

Where

θ = central angle = ?

r = 16 cm

Area of the sector = 48πcm²

Hence

Central angle = Area of a sector ÷ (1/2r²)

= 48πcm² ÷ (1/2 × 16²)

= 48πcm² ÷ 128

Central angle = 3/8π radians

Therefore, Central angle = 3/8π radians

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Answer: Robert and Chris can skate 10 miles in 45 minutes.

Step-by-step explanation:

Let's start by finding the unit rate.

\frac{4}{18} =\frac{2}{9} \\\frac{18}{18} =1

Robert and Chris can skate \frac{2}{9} of a mile in 1 minute. Now we can multiply both by 45 to see how far the can go in 45 minutes.

(\frac{2}{9}) (\frac{45}{1} )\\\frac{(2)(45)}{(9)(1)} \\\frac{90}{9} \\10

45x1=45

The can skate 10 miles in 45 minutes.

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Step-by-step explanation:

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Step-by-step explanation:

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