Mathematics : asked on waltdog

20.03.2020

A central angle has its vertex on the and is its intercepted arc.

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09.07.2023, solved by verified expert

Mathematics, DAV Post Graduate College

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first blank:center

second blank: equal to

Step-by-step explanation:

A central angle has its vertex (the point or corner of the angle) at the center of a circle. The arc (curved piece of the circle) that is cut off by the angle (intercepted arc) has the same measure as the angle. see image

A central angle has its vertex on the and is, №18011058, 20.03.2020 09:52

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Mathematics

A central angle has its vertex on the and is its intercepted arc.

Step-by-step answer

P Answered by Master

first blank:center

second blank: equal to

Step-by-step explanation:

A central angle has its vertex (the point or corner of the angle) at the center of a circle. The arc (curved piece of the circle) that is cut off by the angle (intercepted arc) has the same measure as the angle. see image

A central angle has its vertex on the and is its intercepted arc.

Mathematics

Two cities are approximately 350 miles apart on the surface of the earth. Assuming that the radius of the earth is 4,000 miles, find the radian measure of the central angle with its vertex at the center of the earth that has one city on one side and another one on the other side. a. 0.0775 radians b. 0.1025 radians c. 0.0875 radians d. 0.0825 radians e. 0.1075 radians 6. Name the reference angle in both degrees and radians.

Step-by-step answer

P Answered by Master

$\mathbf{\theta = 0.0875 \ radians}$

Step-by-step explanation:

Given that:

The distance between city A and city B = 350 miles; &

The radius of the earth = 4000 miles

We all know that:

l = rθ

$\theta = \dfrac{l}{r}$

$\theta = \dfrac{350}{4000}$

$\mathbf{\theta = 0.0875 \ radians}$

From l = rθ; recall that l = a

so;

a = rθ

350 = 4000×θ

θ = 350/4000

θ = 35/400 degree

In radians;

θ = (35/400) × (π/180)

θ = (7π /800× 180) radians

Mathematics

Two cities are approximately 350 miles apart on the surface of the earth. Assuming that the radius of the earth is 4,000 miles, find the radian measure of the central angle with its vertex at the center of the earth that has one city on one side and another one on the other side. a. 0.0775 radians b. 0.1025 radians c. 0.0875 radians d. 0.0825 radians e. 0.1075 radians 6. Name the reference angle in both degrees and radians.

Step-by-step answer

P Answered by Master

$\mathbf{\theta = 0.0875 \ radians}$

Step-by-step explanation:

Given that:

The distance between city A and city B = 350 miles; &

The radius of the earth = 4000 miles

We all know that:

l = rθ

$\theta = \dfrac{l}{r}$

$\theta = \dfrac{350}{4000}$

$\mathbf{\theta = 0.0875 \ radians}$

From l = rθ; recall that l = a

so;

a = rθ

350 = 4000×θ

θ = 350/4000

θ = 35/400 degree

In radians;

θ = (35/400) × (π/180)

θ = (7π /800× 180) radians

Mathematics

City a and city b are approximately a=350 miles apart on the surface of the earth. assuming that the radius of the earth is 4000 miles, find the radian measure of the central angle with its vertex at the center of the earth that has city a on one side and city b on the other side.

Step-by-step answer

P Answered by PhD

1

So... notice the picture below, the arc is 350 miles long,
and the radius is 4000

$\bf \textit{arc's length}=s=\theta r\implies \cfrac{s}{r}=\theta\qquad 
\begin{cases}
\theta=\textit{angle in radians}\\
r=radius
\end{cases}$
City a and city b are approximately a=350 miles apart on the surface of the earth. assuming that the

City a and city b are approximately a=350 miles apart on the surface of the earth. assuming that the

Mathematics

Circle Z is shown. Line segments Z T, Z U, and Z V are radii of the circle. Line segment U X goes through point X and is a diameter. Line segment W Y goes from one side to the opposite side and intersects line segment U X at point S. Line segment W X is a secant. Angle X W X is 42 degrees, angle W S Y is 100 degrees, and angle T Z U is 79 degrees. Complete the statements about circle Z. A central angle, such as angle of circle Z, is an angle whose vertex is and whose sides are radii of the circle. Angle is not a central angle of circle Z. The degree

Step-by-step answer

P Answered by PhD

8

UZV

The center of the circle

WSX

Equal to

79

Step-by-step explanation:

Just did it

Mathematics

Circle Z is shown. Line segments Z T, Z U, and Z V are radii of the circle. Line segment U X goes through point X and is a diameter. Line segment W Y goes from one side to the opposite side and intersects line segment U X at point S. Line segment W X is a secant. Angle X W X is 42 degrees, angle W S Y is 100 degrees, and angle T Z U is 79 degrees. Complete the statements about circle Z. A central angle, such as angle of circle Z, is an angle whose vertex is and whose sides are radii of the circle. Angle is not a central angle of circle Z. The degree

Step-by-step answer

P Answered by PhD

8

UZV

The center of the circle

WSX

Equal to

79

Step-by-step explanation:

Just did it

Mathematics

Complete the statements about circle z. a central angle, such as angle of circle z, is an angle whose vertex is and whose sides are radii of the circle. angle is not a central angle of circle z. the degree measure of an arc is the degree measure of the central angle that intercepts it. the measure of is degrees.

Step-by-step answer

P Answered by Master

662

1) UZV

2)the center of a circle

3)WSX

4) equal to

5)79 degrees

Step-by-step explanation:

Answers.

Mathematics

Match the vocabulary word with the correct definition. 1. an angle in the plane of a circle with the vertex at the center of the circle central angle 2. the union of the endpoints of a diameter and all points of the circle lying on one side of the diameter. minor arc 3. the union of two points of a circle, not the end points of a diameter; and all points of the circle that are in the exterior of the central angle whose sides contain the two points. major arc 4. the union of two points of a circle, not endpoints of a diameter, and all points of

Step-by-step answer

P Answered by Specialist

4

1. central angle

2. semicircle

3. major arc

4. minor arc

Step-by-step explanation:

1. central angle is an angle whose vertex rest on the center of a circle, with its sides containing two radii of the same circle.

2. semicircle is simply a half circle which is formed by cutting a full circle along a diameter (that is union of the endpoints of a diameter).

3. major arc is an arc that is larger than a semicircle and is bounded by a central angle whose angle is lesser than 180°.

4. minor arc is an arc that is smaller than a semicircle and is bounded by a central angle whose angle is greater than 180°.

Mathematics

Complete the statements about circle z. a central angle, such as angle of circle z, is an angle whose vertex is and whose sides are radii of the circle. angle is not a central angle of circle z. the degree measure of an arc is the degree measure of the central angle that intercepts it. the measure of is degrees.

Step-by-step answer

P Answered by Specialist

330

1.) UZV

2.) The center of the circle

3.) WSX

4.) Equal to

5.) 79 degrees

Step-by-step explanation:

Mathematics

A central angle is best described as which of the following? A. It has a measure greater than 180 degrees. B. It is an angle that has its vertex on the circle. C. It is an angle that has its vertex at the center of a circle. D. It is part of the circumference of a circle.

Step-by-step answer

P Answered by PhD

1

C. It is an angle that has its vertex at the center of a circle.

Step-by-step explanation:

That's the definition.

A. is wrong. An angle with a measure greater than 180° is an obtuse angle,

B. is wrong. An angle that has its vertex on the circle is an inscribed angle.

D. is wrong. Part of the circumference of a circle is an arc.

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