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2 years ago

A circle has a circumference of

Mathematics

1 answer:

murzikaleks [220]2 years ago

5 0

Answer:

1249.37 units

Step-by-step explanation:

The circumference of a circle is given as

$C=2\pi \: r$

Given that the circumference of a circle is 7850 units, we can find the radius by substituting and solving for r.

$7850 = 2\pi \: r$

$r = \frac{7850}{2\pi}$

We divide to obtain:

$r = 1249.37$

Therefore the radius of the circle is 1249.37 units

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iren2701 [21]

Answer:

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Step-by-step explanation:

The opposite sides of a parallelogram are congruent , then

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2 years ago

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2 years ago

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Answer:

Step-by-step explanation:

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3 years ago

Find the coordinates of the point (x,y) at the given angle θ on a circle of radius r centered at the origin. Show all work. Roun

beks73 [17]

Answer:

(i) The equivalent coordinates in rectangular form are $(x, y) = (-3.277,-2.294)$ .

(ii) The equivalent coordinates in rectangular form are $(x, y) = (0.866, 0.5)$ .

Step-by-step explanation:

In this exercise we must find the equivalent coordinates in rectangular form from polar form. That is:

$(x, y) = (r\cdot \cos \theta, r\cdot \sin \theta)$

Where:

$r$ - Norm of vector, dimensionless.

$\theta$ - Direction of vector with respect to +x semiaxis, measured in sexagesimal degrees.

(i) ( $r = 4$ , $\theta = 215^{\circ}$ )

$(x. y) = (4\cdot \cos 215^{\circ}, 4\cdot \sin 215^{\circ})$

$(x, y) = (-3.277,-2.294)$

The equivalent coordinates in rectangular form are $(x, y) = (-3.277,-2.294)$ .

(ii) ( $r = 1$ , $\theta = 30^{\circ}$ )

$(x. y) = (1\cdot \cos 30^{\circ}, 1\cdot \sin 30^{\circ})$

$(x, y) = (0.866, 0.5)$

The equivalent coordinates in rectangular form are $(x, y) = (0.866, 0.5)$ .

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3 years ago

In the diagram shown , find the size of angle x

almond37 [142]

Answer:

x = 110°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6, thus

sum = 180° × 4 = 720°

Sum the given angles and equate to 720

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610 + x = 720 ( subtract 610 from both sides )

x = 110°

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3 years ago