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olya-2409 [2.1K]
3 years ago
14

What is the length of an arc defined by a 60 degree central angle in a circle with a radius of 5 in.?

Mathematics
1 answer:
Natali [406]3 years ago
3 0

Answer:

5.24 in

Step-by-step explanation:

The arc length is calculated as

arc = circumference × fraction of circle

     = 2πr × \frac{60}{360}

     = 2π × 5 × \frac{1}{6}

     = \frac{10\pi }{6} ≈ 5.24 in (2 dec. places )

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57

Step-by-step explanation:

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2 years ago
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A rectangle pool is 7 ft wide, it is 3 times as long as it is wide what’s the dimensions of the pool?
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The length is 3 times longer than the width (7)

3 x 7 = 21

the length is 21.

To find perimeter, add all sides together:

21 + 21 + 7 + 7 = 42 + 14 = 56

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hope this helps

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3 years ago
Regular dodecahedron with s= 2 times the square root of three and a = 2.4
slega [8]
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3 years ago
Apply the Pythagorean Theorem to find the distance between points A and B.
irinina [24]

Answer:          

  Properties of a right tangle can be created in  a Coordinate Plane

  Distance between two points A and B are shown as below

Step-by-step explanation:

Find distance between two point using Pythagorean Theorem.

Properties of right triangles and creating right triangle as a coordinate Plane.

Suppose two point are drawn in triangle containing value of  (-2 , 4 ) and (-2, -2)

then

In (-2 , 4 ) and (-2,-2)

taking y-values that is  4 and -2

find difference between them such as

    4-(-2) = 6

Distance is (-2,4) is 6 unit from (-2,-2)

We can also find unit length of A and B

Side A:   (-1, 2) and (3,2)

      3-(-2)  = 5

side A is 5 unit in length

Side B : (-2,2) and (-2,-1)

      2 - (-1) = 3

Side B is 3 unit in length

7 0
3 years ago
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