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Kobotan [32]
2 years ago
9

The area of a circle is 88.44 cm² find the length of the radius rounded to 2 DP

Mathematics
1 answer:
schepotkina [342]2 years ago
4 0

The radius of the circle is 5.30 cm.

<h3>What is a radius?</h3>

A radius is a line that extends from the center of a circle to any point of the circumference.

To calculate the length of the radius of the circle, we use the formula below.

Formula:

  • A = πr²......... Equation 1

Make r the subject of the equation

  • r = √(A/π).................. Equation 2

Where:

  • A = Area of the  circle
  • r = Radius of the circle
  • π = Pie

From the question,

Given:

  • A = 88.44 cm²
  • π = 22/7

Substitute these values into equation 2

  • r = √(88.44/(22/7))
  • r = √(88.44×7/22)
  • r = √(28.14)
  • r = 5.30 cm

Hence, the radius of the circle is 5.30 cm.

Learn more about radius here: brainly.com/question/24375372

#SPJ1

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Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a rand
SOVA2 [1]

Answer:

<u>Question 1:</u>

<u>(a) </u>P(x<60) = 0.9236

<u>(b) </u>P(x>16) = 0.9564

<u>(c) </u>P(16<x<60) = 0.88

<u>(d) </u>P (x>60) = 0.0764

<u />

<u>Question 2:</u>

<u>(a) </u>P(x<3) = 0.0668

<u>(b) </u>P(x>7) = 0.0062

<u>(c) </u>P(3<x<7) = 0.927

<u />

Step-by-step explanation:

<u>Question 1:</u>

x = no. of mg of porphyrin per deciliter of blood.

μ = 40

σ = 14

(a) We need to compute P(x<60). We need to find the z-score using the normal distribution formula:

z = (x - μ)/σ

P(x<60) = P((x - μ)/σ < (60 - 40)/14)

             = P(z < 20/14)

             = P(z<1.43)

Using the normal distribution probability table we can find the value of p at z=1.43.

P(z<1.43) = 0.9236

so, P(x<60) = 0.9236

(b) P(x>16) = P(z>(16-40)/14)

                 = P(z>-1.71)

                 = 1 - P(z<-1.71)

                 = 1 - 0.0436

    P(x>16) = 0.9564

(c) P(16<x<60) = P((16-40)/14) < x < (60-40)/14)

                        = P(-1.71 < z < 1.43)

This probability can be calculated as: P(z<1.43) - P(z<-1.71)

                                         P(16<x<60) = 0.9236 - 0.0436

                                         P(16<x<60) = 0.88

(d) P(x>60) = 1 - P(x<60)

     we have calculated P(x<60) in part (a) so,

    P(x>60) = 1 - 0.9236

    P (x>60) = 0.0764

<u>Question 2:</u>                              

μ = 4.5 mm

σ = 1.0 mm

In this question, we will again compute the z-scores and then find the probability from the normal distribution table.

(a) P(x<3) = P(z<(3-4.5)/1)

                = P(z<-1.5)

     P(x<3) = 0.0668

(b) P(x>7) = 1 - P(x<7)

               = 1 - P(z<(7-4.5)/1)

               = 1 - P(z<2.5)

               = 1 - 0.9938

    P(x>7) = 0.0062

(c) P(3<x<7) = P(x<7) - P(x<3)

  we have computed both of these probabilities in parts (a) and (b) so,

    P(3<x<7) = 0.9938 - 0.0668

    P(3<x<7) = 0.927

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It would be 10 inches. The length of WZ would usually be stated as the diameter in these cases. As you can see in the picture, 5 inches is our radius and the diameter equals the radius times two (2r or the radius doubled) to give the diameter. 5 x 2 = 10, and 10 would be the answer.

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