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olga55 [171]
3 years ago
8

What is the approximate area of the shaded sector in the circle shown below?

Mathematics
2 answers:
scZoUnD [109]3 years ago
4 0
The diameter of the circle is 5.4 cm. The shaded area is 180 degrees, which is 1/2 of the circle.

Calculate the area of the full circle and divide by 2.
 Area = PI x r^2
r = 5.4/2 = 2.7

Area = 3.14 x 2.7^2 = 22.90

Area of shaded part: 22.90 / 2 = 11.45 cm^2.

The answer is A.

Marina86 [1]3 years ago
4 0

Answer:

does anyone know what the answer would be if the radius is 3.4 ]

Step-by-step explanation:

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What is the equation, in slope-intercept form, of the line
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<u>Given</u>:

Given that the graph of the equation of the line.

The line that is perpendicular to the given line and passes through the point (2,-1)

We need to determine the equation of the line perpendicular to the given line.

<u>Slope of the given line:</u>

The slope of the given line can be determined by substituting any two coordinates from the line in the slope formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the coordinates (-1,3) and (2,2), we get;

m_1=\frac{2-3}{2+1}

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<u>Slope of the perpendicular line:</u>

The slope of the perpendicular line can be determined by

m_2=-\frac{1}{m_1}

Substituting m_1=-\frac{1}{3}, we get;

m_2=-\frac{1}{-\frac{1}{3}}

simplifying, we get;

m_2=3

Thus, the slope of the perpendicular line is 3.

<u>Equation of the perpendicular line:</u>

The equation of the perpendicular line can be determined using the formula,

y-y_1=m(x-x_1)

Substituting m=3 and the point (2,-1) in the above formula, we have;

y+1=3(x-2)

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Thus, the equation of the perpendicular line is y=3x-7

Hence, Option d is the correct answer.

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Step-by-step explanation:

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