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bagirrra123 [75]
2 years ago
8

Find the length of arc XY and find the measure of arc XY

Mathematics
2 answers:
Oduvanchick [21]2 years ago
6 0

Answer:

Step-by-step explanation:

The answer is definitely not 65.

This problem requires the following formulas:

Area of a circle = πr²,

Arc Length = \frac{\theta}{360}*2\pi r, and

Area of a sector = \frac{\theta}{360}*\pi r^2

Notice that each of these has a radius in it.

That means that first you have to find the length of the radius in order to be able to solve for anything else.  We will use the area of a circle to find the radius.  We cannot use either one of the other 2 since the radius is still unknown and so is the central angle theta.  The area of the circle is given as 201.06.  Therefore,

201.06=\pi r^2

Divide both sides by the value for π to get:

63.99938572=r^2  and take the square root of both sides to get that the radius is

r = 7.9999 so we will round to 8.0 (to the nearest tenth).

Now that we know that the radius is 8, we can use that to find the measure of the central angle theta in the area of a sector formula.  We know that the area of the shaded sector is 75.40, therefore,

75.40=\frac{\theta}{360}*\pi (8^2)  and simplifying:

75.40=\frac{64\pi \theta}{360}

Multiply both sides by 360 to get

27144 = 64πθ, and divide both sides by 64π to get that

θ = 135°.  Remember that the measure of the central angle is also the arc measure in degrees.  So the arc measure is also 135°.

Now that we know theta we can find the arc length:

AL=\frac{135}{360}*16\pi, and simplifying a bit:

AL=.375(16\pi) so the

Arc Length is 18.8 cm

max2010maxim [7]2 years ago
4 0

Answer:

the answer is 65

Step-by-step explanation:

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Given that CD¯¯¯¯¯¯¯¯ is a perpendicular bisector of AB¯¯¯¯¯¯¯¯, where D is on AB¯¯¯¯¯¯¯¯, how can you use the Pythagorean Theor
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Answer:

(AD)^2 + (CD)^2 = (CA)^2 and (CD)^2 + (BD)^2 = (CB)^2

Step-by-step explanation:

Given

Bisector: CD

of Line AB

Required

Apply Pythagoras Theorem

From the question, CD bisects AB and it bisects it at D.

The relationship between AB and CD is given by the attachment

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From the attachment, we have that:

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There are 13 brunettes and 7 blondes in a Spanish class. The teacher selects two students to run an errand. How many possible ou
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8 0
3 years ago
Mina asked four friends to explain how each one solved the expression . Here are their explanations:
Fed [463]

Ok let me answer this question by finding it's solution first.

The two numbers are 15.75 and 176.3

First we will compare the numbers.

1. A=176.3

2. B=15.75

one's place of A is greater than once place of B.

tens place of A is greater than tens place of B.

Hundred place of A is greater than hundred place of B.

So, A>B

So  we will subtract 15.75 from 176.3.

176.30 -15.75=

176.30     ----A

- 1 5.75     ----B

Hundreths place of A - Hundreths place of B =  0-5=10-5=5

Tenth place of A  - Tenth place of B =12-7=5

ones place of A - ones place of B=5-5=0

Tens place of A - Tens place of B =7-1=6

Leave 1 as it is.

So the solution is 160.55

Now coming back to the Explanation by four friends of Mina

Ivy’s explanation: I lined up the numbers to subtract. [As i have explained above you have to find first which number is bigger , then first you must write bigger number then if the bigger number has  only tenth place value mark hundred place as 0 and then start subtracting from Right to left.]

Hannah’s explanation: I lined up the two decimals according to place value. I put a 0 in the hundredths place to make it easier for me to subtract.   [ As i said above first you have to choose which number is bigger then you can proceed as you have done.]

Jose’s explanation: I lined up the two decimals according to place value   [ Jose you have made same mistake, first find which number is bigger then line up the number according to their place value, write the bigger number first then start subtracting as i have explained above.]

An’s explanation: I counted up from 15.75 to 176.3 to find the difference. I underlined each number I added on each line.   [ Too lengthy and very time consuming. Use the method as i have explined above.]




6 0
3 years ago
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