Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 15, Problem 18A
To determine

(a)

The length of radii of the given circle.

Expert Solution
Check Mark

Answer to Problem 18A

Radius length of given circle is 4 inch.

Explanation of Solution

Given information:

A circle is given whose area is

  50.24 square inch.

Calculation:

As we know that area of a circle is given by -

  A=π×R2

So, radius length of the circle will be -  R=Aπ

  Mathematics For Machine Technology, Chapter 15, Problem 18A , additional homework tip  1Mathematics For Machine Technology, Chapter 15, Problem 18A , additional homework tip  2

Here, area of the given circle is 50.24 square inch. i.e. A=50.24 square inch.

So, area of the circle will be -

  R=AπR= 50.24 3.14  square inch                       {Put A=50.24 square inch}R=16  square inchR=4 inch × 4 inchR=4 inch.

Hence, radius of given circle is 4 inch.

To determine

(b)

The length of radii of the given circle.

Expert Solution
Check Mark

Answer to Problem 18A

Radius length of given circle is 2 inch.

Explanation of Solution

Given information:

A circle is given whose area is 12.56 square inch.

Calculation:

As we know that area of a circle is given by -

  A=π×R2

So, radius length of the circle will be -  R=Aπ

  Mathematics For Machine Technology, Chapter 15, Problem 18A , additional homework tip  3Mathematics For Machine Technology, Chapter 15, Problem 18A , additional homework tip  4

Here, area of the given circle is 12.56 square inch. i.e. A=12.56 square inch.

So, area of the circle will be -

  R=AπR= 12.56 3.14  square inch                       {Put A=12.56 square inch}R=4  square inchR=2 inch × 2 inchR=2 inch.

Hence, radius of given circle is 2 inch.

To determine

(c)

The length of radii of the given circle.

Expert Solution
Check Mark

Answer to Problem 18A

Radius length of given circle is 10 mm.

Explanation of Solution

Given information:

A circle is given whose area is 314 square mm.

Calculation:

As we know that area of a circle is given by -

  A=π×R2

So, radius length of the circle will be -  R=Aπ

  Mathematics For Machine Technology, Chapter 15, Problem 18A , additional homework tip  5Mathematics For Machine Technology, Chapter 15, Problem 18A , additional homework tip  6

Here, area of the given circle is 314 square mm. i.e. A=314 square mm.

So, area of the circle will be -

  R=AπR= 314 3.14  square mm                       {Put A=314 square mm}R=100  square mmR=10 mm × 10 mmR=10 mm.

Hence, radius of given circle is 10 mm.

To determine

(d)

To workout the length of radii of the given circle.

Expert Solution
Check Mark

Answer to Problem 18A

Radius length of given circle is 3 inch.

Explanation of Solution

Given information:

A circle is given whose area is 28.26 square inch.

Calculation:

As we know that area of a circle is given by -

  A=π×R2

So, radius length of the circle will be -  R=Aπ

  Mathematics For Machine Technology, Chapter 15, Problem 18A , additional homework tip  7Mathematics For Machine Technology, Chapter 15, Problem 18A , additional homework tip  8

Here, area of the given circle is 28.26 square inch. i.e. A=28.26 square inch.

So, area of the circle will be -

  R=AπR= 28.26 3.14  square inch                       {Put A=28.26 square inch}R=9  square inchR=3 inch × 3 inchR=3 inch.

Hence, radius of given circle is 3 inch.

To determine

(e)

The length of radii of the given circle.

Expert Solution
Check Mark

Answer to Problem 18A

Radius length of given circle is 7 mm.

Explanation of Solution

Given information:

A circle is given whose area is 153.86 square mm.

Calculation:

As we know that area of a circle is given by -

  A=π×R2

So, radius length of the circle will be -  R=Aπ

  Mathematics For Machine Technology, Chapter 15, Problem 18A , additional homework tip  9Mathematics For Machine Technology, Chapter 15, Problem 18A , additional homework tip  10

Here, area of the given circle is 153.86 square mm. i.e. A=153.86 square mm.

So, area of the circle will be -

  R=AπR= 153.86 3.14  square mm                       {Put A=153.86square mm}R=49  square mmR=7 mm × 7 mmR=7 mm.

Hence, radius of given circle is 7 mm.

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