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kvasek [131]
3 years ago
14

Name the properties associated with the angles and arcs of circles

Mathematics
1 answer:
Alexandra [31]3 years ago
5 0
Every circle has 5 types of angles:
1.Central angle<span> - the angle formed by two radii with the vertex at the center of the circle.
</span>Congruent central angles have congruent arcs and congruent central angles have congruent chords.<span>
2. </span> Inscribed angle -<span> the angle with its vertex "on" the circle, formed by two intersecting chords.
</span>Inscribed angles that intercept the same arc are congruent.O<span>pposite angles in a cyclic quadrilateral are supplementary.
</span>3. Tangent chord angle - angle <span>formed by an intersecting tangent and chord.
4. </span><span>Angle formed by two Intersecting chords
5. </span><span>Angle formed outside of circle by intersection.
</span>Arc is the connected section of the circumference of a circle. It can be measured as the central angle, or as the length of the arc<span> itself.</span>

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Step-by-step explanation:

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Answer:

1i) nth term = 12(-b/4)^(n-1)

ii) nth term = 3(-1/9)^(n-1)

2i) Sixth term= (-3b^5)/256

ii) Eight term = -1/1594323

Question:

The complete question as found on brainly (question-10746111):

Write down the nth term of each of the following G.Ps whose first two terms are given as follows. Also find the term stated besides each G.P.

i) 12,-3b,......sixth term

ii) 3,-1/3,..........;8th term?

Step-by-step explanation:

1) To solve terms involving Geometric progressions (GPs), we would first state the variables that are to be incorporated in the formula.

i) 12,-3b,......;sixth term

1st term = a= 12

r = common ratio = 2nd term /1st term

r = -3b/12 = -b/4

Then we would find the nth term

See attachment for details

ii) 3,-1/3,..........;8th term

1st term = a= 3

r = common ratio = 2nd term /1st term

r = (-⅓)/3 = (-⅓)(⅓) = -1/9

Then we would find the nth term

See attachment for details

2) we are to determine the sixth term in (i) and eight term in (ii)

See attachment for details

Sixth term= (-3b^5)/256

Eight term = -1/1594323

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