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lutik1710 [3]
2 years ago
11

The diameter of a circle is 16 meters. What is the angle measure of an arc bounding a sector with an area eight pi square meters

? (give the exact answer in simplest form)
Mathematics
1 answer:
Degger [83]2 years ago
5 0

Answer: 45°

Step-by-step explanation:

Diameter= 16m

Radius= 16/2 = 8m

The area of the circle= πr^2

= π8^2

= 64π square metres.

An area of 8π square metres is also 1/8 of the total area, therefore the arc must be 1/8 of the circumference.

The circumference = 2πr = 16π,

This gives us an arc length of 2π metres.

But since we are looking for the the angle.

In degrees: 360/8 = 45°

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Step-by-step explanation:

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3 years ago
The circle below is centered at (4, -1) and has a radius of 3. What is its
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Answer:

Answers C and D are proably missing the y term.  I'll assume they are:

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Step-by-step explanation:

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2 years ago
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2 years ago
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Answer:

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Step-by-step explanation:

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We need to check each choice in just one equation.

Let's use the second equation.

y = -2x - 5

A.

(2, 7)

7 = -2(2) - 5

7 = -4 - 5

7 = -9   False

Not a solution

B.

(5, 0)

0 = -2(5) - 5

0 = -10 - 5

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Not a solution

C.

(-3, 1)

1 = -2(-3) - 5

1 = 6 - 5

1 = 1   True

Solution

D.

-13 = -2(4) - 5

-13 = -8 - 5

-13 = -13    True

Solution

Answer: Only choices C and D are solutions

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