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mixas84 [53]
1 year ago
6

How long is the arc intersected by a central angle of startfraction pi over 2 endfraction radians in a circle with a radius of 4

.5 cm? round your answer to the nearest tenth. use 3.14 for pi.
Mathematics
1 answer:
Nimfa-mama [501]1 year ago
7 0

<u>7.1 cm  long is the arc</u><u> intersected by a central angle .</u>

What is length of an arc?

  • The arc length of a circle can be calculated with the radius and central angle using the arc length formula.
  • Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.

Given,

Central angle = π / 2

radius = 4.5 cm

we apply formula of length of arc.

length of the arc = angle ×  radius

                              = (π/2) × (4.5 cm)

Now put value of π = 3.14

length of the arc = (3.14 / 2) × (4.5) cm

                            = 7.065 cm ≈ 7.1 cm

Therefore, 7.1 cm  long is the arc intersected by a central angle .

Learn more about<u> </u> length of an arc

brainly.com/question/16991078

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A random sample of 2 measurements is taken from the following population of values: 0, 1, 3, 4, 7. What is the probability that
mafiozo [28]

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1/5

Step-by-step explanation:

Range as a measure of central tendency is the difference between the highest value and the lowest value in a given set of data.

Given the samples 0,1,3,4,7

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The range can be gotten by taking the difference between 7 and 3, it can also be gotten by taking the difference between 4 and 0. Both differences will give us a total of 4

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7 0
3 years ago
Simplify the expression (7 + 9i)(8 - 10i)
NeX [460]

The simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i

<h3>How to simplify the expression?</h3>

The expression is given as:

(7 + 9i)(8 - 10i)

Expand the bracket

7 * 8 + 9i * 8 -7 * 10i - 9i * 10i

Evaluate the products

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Evaluate the difference

56 + 2i - 90(i²)

In complex numbers;

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56 + 2i - 90(-1)

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Hence, the simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i

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Yuliya22 [10]

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