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4 years ago

Consider the circle with a 4 centimeter radius. If the length of major arc RT is 64 9 π, what is the measure of ∠RST?

Mathematics

2 answers:

grin007 [14]4 years ago

8 0

25 degrees is the correct answer

Drupady [299]4 years ago

6 0

Answer: The answer in 20° in USA TestPrep

Step-by-step explanation:

S=2πr× n°/360°

n°=360s/2πr= 360(64π/9)/2π(4)=320

This,∆H=360-320=40

Then, ∆RST=1/2 ∆H= 1/2(40)=20

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3 years ago

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Olin [163]

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4 0

3 years ago

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown

IgorLugansk [536]

Given:

One endpoint of a line segment = (-7,-9)

Midpoint of the segment = (-2,-16)

To find:

The other endpoint of the given line segment.

Solution:

Let (a,b) be the other endpoint of the given line segment.

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Using this formula, we get

$(-2,-16)=\left(\dfrac{-7+a}{2},\dfrac{-9+b}{2}\right)$

On comparing both sides, we get

$\dfrac{-7+a}{2}=-2$

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$a=-4+7$

$a=3$

And,

$\dfrac{-9+b}{2}=-16$

$-9+b=-32$

$b=-32+9$

$b=-23$

Therefore, the coordinates of other endpoint are (3,-23).

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3 years ago