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3 years ago

What is the degree measure of an arc 4 ft. long in a circle of radius 10 ft.?

2 answers:

6 0

The measure of the arc (S) given the angle it intercepted (A) and the radius is given by the equation,
S = (A / 360°) x (2πr)
Substituting the values to the equation above,
4 ft = (A / 360°) x (2π)(10 ft)
The value of A is 22.92°.

Anna [14]3 years ago

5 0

Answer:

22.92 degrees.

Step-by-step explanation:

We have been given that

s = 4 ft

r = 10 ft

We have to find the angle in degrees.

We know the relation

$\theta=\frac{s}{r}$

Here angle is in radians.

Substituting the values, we get

$\theta=\frac{4}{10}\\\\\theta=\frac{2}{5}\text{ radians}\\\\\theta=0.4\text{ radians}$

1 radian = 57.2958 degrees.

Hence, 0.4 radians = 22.92 degrees.

Therefore, the degree measure of the angle is 22.92 degrees.

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Select the correct answer from each drop-down menu.

ruslelena [56]

The independent variable in the relationship is the Number of Months and should be placed on the x-axis

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Step-by-step explanation:

Let us explain the independent and dependent variables of a relation

The independent variable is the input of the relation

The dependent variable is the output of the relation
The values of dependent variables depend on the values of independent variables
When the relation represented graphically the independent variable placed on the x-axis and the dependent variable placed on the y-axis

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Learn more:

You can learn more about the relation in brainly.com/question/10708697

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