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2 years ago

Find the Arc Length AND Sector Area from the circle. Use 3.14 for pi. Do not round your answer.

Mathematics

2 answers:

miskamm [114]2 years ago

8 0

Answer:

Arc Length : 43.98
Sector Area : 175.92

Leokris [45]2 years ago

7 0

Answer:

Arc Length : 43.98

Sector Area : 175.92

Step-by-step explanation:

Formula for Arc Length : 2·π·r·Ф / 360

Formula for Sector Area : π· $r^{2}$ ·Ф / 360

- Where r is the radius

- Where Ф is the angle

Arc Length : 2 · π · 8 · 315 / 360 = 43.98

Sector Area : π · $8^{2}$ · 315 / 360 = 175.92

hope this helps !! :D

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Identify the equation of the circle that has its center at (16, 30) and passes through the origin

Veronika [31]

To solve this question, we have to find the equation of the circle with given center and where it passes. Doing this, we get that the equation of the circle is:

$(x - 16)^2 + (y - 30)^2 = 1156$

Equation of a circle:

The equation of a circle with center $(x_0, y_0)$ and radius r is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

Center at (16, 30)

This means that $x_0 = 16, y_0 = 30$

Thus

$(x - 16)^2 + (y - 30)^2 = r^2$

Passes through the origin:

We use this to find the radius squared, as this means that $x = 0, y = 0$ is part of the circle. Thus

$(x - 16)^2 + (y - 30)^2 = r^2$

$(0 - 16)^2 + (0 - 30)^2 = r^2$

$r^2 = 16^2 + 30^2 = 1156$

Thus, the equation of the circle is:

$(x - 16)^2 + (y - 30)^2 = 1156$

For another example to find the equation of a circle, you can look at brainly.com/question/23719612

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3 years ago

Six friends will exchange books in their book club. Each friend has one book to give to a friend, and will receive one book from

ExtremeBDS [4]

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2 years ago

TrianglesABC and DEF are Similar Not similar

puteri [66]

Answer:

Similar

Step-by-step explanation:

We can say that the triangles are similar by looking at the angle measurements

Angle B = 35

Angle F = 55

Both angles A and D = 90 because these are right triangles

We can say the measure of angle E = 35 because the sum of angles in a triangle equal to 180

Same rule applies to angle C

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2 years ago

-112=16e Solve for e

snow_tiger [21]

Answer: -7 = e

Step-by-step explanation: To solve this equation for e, we need to get e by itself on the right side of the equation. Since e is multiplied by 16, in order to get e by itself, we need to divide by 16 on the right side of the equation. If we divide by 16 on the right side of the equation, we must also divide by 16 on the left side of the equation.

On the right side of the equation the 16's cancel and we have e. On the right side of the equation -112 divided by 16 is -7. Remember that a negative divided by a positive is a negative.

So we have -7 = e which is the solution to our equation.

To check our solution, we can plug -7 in for e in the original equation. So we have -112 = 16 (-7) or -112 = -112 which is a true statement so our answer checks.

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3 years ago

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