Mathematics : asked on waltdog
 20.03.2020

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

. 1

Step-by-step answer

09.07.2023, solved by verified expert
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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
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
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
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
Step-by-step answer
P Answered by Specialist

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
Step-by-step answer
P Answered by PhD

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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