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Studentka2010 [4]
3 years ago
14

Find the length of arc AB for each circle.

Mathematics
1 answer:
Eddi Din [679]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

The length of the arc is calculated as

AB = circumference of circle × fraction of circle

(11)

AB = 2πr × \frac{90}{360}

     = 2π × 7 × \frac{9}{36}

     = 14π × \frac{1}{4}

     = \frac{7}{2} π in

(12)

AB = 2πr × \frac{135}{360} ( r = 20 ÷ 2 = 10 )

      = 2π × 10 × \frac{3}{8}

      = 20π × \frac{3}{8}

      = \frac{60}{8} π

      = \frac{15}{2} π cm

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In the diagram, the measure of angle 6 is 98°. what is the measure of angle 7?
lesya [120]

Answer:

7∠82°

Step-by-step explanation:

Well angle 6 and 7 are complementary angles, meaning they both add up to 180°.

So we do 180 - 98 which is 82°.

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3 years ago
A circle is graphed on this coordinate plane. What is the radius in units of the circle and what is the equation of the circle?​
Anastasy [175]

Answer:

The radius is 4 units, and the equation of the circle is:

(x - 3)^2 + (y + 5)^2 = 16

Step-by-step explanation:

A circle centered at the point (a, b) and with a radius R, is written as:

(x - a)^2 + (y - b)^2 = R^2

In the image, we can see that a segment that cuts the circle in two halves is the segment between the points:

(-1, -5) and (7, - 5)

The distance between these points is the diameter of the circle.

Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is:

D = √( (x₂ - x₁)^2 + (y₂ - y₁)^2)

Then in this case, the distance between the known points is:

D = √( (7 - (-1))^2 + (-5 - (-5))^2)

D = √( 8^2) = 8

The diameter of the circle is 8

Then the radius is:

R = 8/2 = 4

the radius is 4.

Now, to find the center of the circle we just need to go to any of the two extremes of the interval and count 4 units towards the center of the circle, this is:

(-1 + 4, -5) = (3, -5)

or

(7 - 4, -5) = (3, -5)

Then the center of the circle is the point (3, -5) and the radius is R = 4

The equation of the circle is:

(x - 3)^2 + (y - (-5))^2 = 4^2

(x - 3)^2 + (y + 5)^2 = 16

8 0
3 years ago
Show the absolute value of these numbers<br> 5=<br> -4<br> -10<br> 7
crimeas [40]
5=5
|-4|=4
|-10| =10
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3 years ago
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Help me w this question please<br>​
garri49 [273]

Answer:

2560000 or 2.56*10^6

Step-by-step explanation:

\frac{((-4)^6)^2*(-5^2)^3}{(-4)^6*(-5)^2}

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\frac{16777216*15625}{4096*25}

\frac{262144000000}{102400}

2560000

8 0
2 years ago
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