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den301095 [7]
1 year ago
11

What is the area of the sector of the circle below, if the radius is 5 m. and the central angle < AOB measures 88 °. (round a

nswer to the nearest tenth)

Mathematics
2 answers:
MariettaO [177]1 year ago
8 0

Answer:

b 19.2

Step-by-step explanation:

a = \pir^{2} for a circle.  We do not want to find the area for a whole circle.  We only want to find the area for part of a circle.  a hole circle is 360 degrees.

a = \frac{88}{360}\pir^{2}

a = \frac{88}{360}\pi(5^{2})

a = 19.2 rounded.

Andre45 [30]1 year ago
8 0

The area of the sector of circle is b. 19.20 square meter.

<h3>What is the area of sector of circle?</h3>

The space enclosed by the sector of circle is called area of the sector of circle.Mathematically,

Area of the sector of circle, A = θ/360πr²

where θ is the angle of the arc and r is the radius of the circle.

Now it is given that,

radius of the circle, r = 5m

Angle of arc, θ = 88°

Therefore, area ofsector of circle A = θ/360πr²

Put the values,

A = 88/360 π 5²

Solving the equation we get

A = 19.20 square meter.

Hence,the area of the sector of circle is b. 19.20 square meter.

So  the correct answer is b.) 19.20 square meter.

More about area of sector of circle:

brainly.com/question/10035649

#SPJ5

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  m∠K = 37° and n = 31

Step-by-step explanation:

A lot of math is about matching patterns. Here, the two patterns we want to match are different versions of the same Law of Cosines relation:

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<h3>Comparison</h3>

Comparing the two equations, we note these correspondences:

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Comparing these values to the given information, we see that ...

  • KN = c = 53 . . . . . . . . . . matching values 53
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Abby apparently knew that ∠K = 37° and n = 31.

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<em>Additional comment</em>

Side and angle naming for the Law of Sines and the Law of Cosines are as follows. The vertices of the triangle are labeled with single upper-case letters. The side opposite is labeled with the same lower-case letter, or with the two vertices at either end.

Vertex and angle K are opposite side k, also called side NM in this triangle.

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